Find a Number Problems - Revision history

Aradin: /* Find One Number */

2024-07-12T14:40:50Z

Find One Number

@@ Line 10: / Line 10: @@
 == Find One Number ==
 <div class="mw-collapsible mw-collapsed"><math>\scriptstyle\frac{7a}{9}=49</math><div class="mw-collapsible-content">
 {{#annotask:

Aradin: /* Find One Number */

2024-07-12T14:12:20Z

Find One Number

@@ Line 68: / Line 68: @@
 	[[category: #find a number]]
 	[[comment: a+⅓a+⅖a=81]]
 }}</div></div>
 <br>

Aradin: /* Find One Number */

2023-03-31T08:17:29Z

Find One Number

← Older revision		Revision as of 08:17, 31 March 2023
Line 188:		Line 188:
	[[category: #find a number]]		[[category: #find a number]]
	[[comment: ¼a=⅓(a-¼a)=½((a-¼a)-⅓(a-¼a))]]		[[comment: ¼a=⅓(a-¼a)=½((a-¼a)-⅓(a-¼a))]]
			}}</div></div>
			<br>
			<div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left[\left[X-\left(\frac{1}{2}X+\frac{1}{2}\right)\right]-\left[\left[\frac{1}{2}\sdot\left[X-\left(\frac{1}{2}X+\frac{1}{2}\right)\right]\right]+\frac{1}{2}\right]\right]-\left[\frac{1}{2}\sdot\left[\left[X-\left(\frac{1}{2}X+\frac{1}{2}\right)\right]-\left[\left[\frac{1}{2}\sdot\left[X-\left(\frac{1}{2}X+\frac{1}{2}\right)\right]\right]+\frac{1}{2}\right]\right]+\frac{1}{2}\right]=1</math><div class="mw-collapsible-content">
			{{#annotask:
			[[category: #find a number]]
			[[comment: a-(½a+½)-(½(a-(½a+½))+½)-(½(a-(½a+½)-(½(a-(½a+½))+½))+½)]]
	}}</div></div>		}}</div></div>
	<br>		<br>

Aradin: /* Find One Number */

2023-01-07T07:11:16Z

Find One Number

@@ Line 134: / Line 134: @@
 	[[category: #find a number]]
 	[[comment: a+28=2a²]]
 }}</div></div>
 <br>

Aradin: /* Find One Number */

2023-01-06T19:11:50Z

Find One Number

@@ Line 230: / Line 230: @@
 	[[category: #find a number]]
 	[[comment: a(mod)3=2,a(mod5)=4,a(mod7)=6]]
 }}</div></div>
 <br>
@@ Line 254: / Line 266: @@
 	[[category: #find a number]]
 	[[comment: a(mod2)=1,a(mod3)=2,a(mod)4=3,a(mod5)=1,a(mod6)=5,a(mod7)=1,a(mod8)=7,a(mod9)=8,a(mod10)=1]]
 }}</div></div>
 <br>

Aradin: /* Find One Number */

2023-01-06T18:44:30Z

Find One Number

← Older revision		Revision as of 18:44, 6 January 2023
Line 232:		Line 232:
	}}</div></div>		}}</div></div>
	<br>		<br>
			<div class="mw-collapsible mw-collapsed"><math>\scriptstyle a\bmod2=1;a\bmod3=2;a\bmod4=3;a\bmod5=4;a\bmod6=5;a\bmod7=0</math><div class="mw-collapsible-content">
			{{#annotask:
			[[category: #find a number]]
			[[comment: a(mod2)=1,a(mod3)=2,a(mod)4=3,a(mod5)=4,a(mod6)=5,a(mod7)=0]]
			}}</div></div>
			<br>
			<div class="mw-collapsible mw-collapsed"><math>\scriptstyle a\bmod2=1;a\bmod3=1;a\bmod4=1;a\bmod5=1;a\bmod6=1;a\bmod7=0</math><div class="mw-collapsible-content">
			{{#annotask:
			[[category: #find a number]]
			[[comment: a(mod2)=1,a(mod3)=1,a(mod)4=1,a(mod5)=1,a(mod6)=1,a(mod7)=0]]
			}}</div></div>
			<br>
	<div class="mw-collapsible mw-collapsed"><math>\scriptstyle a\bmod1=0;a\bmod2=1;a\bmod3=2;a\bmod4=3;a\bmod5=4;a\bmod6=5;a\bmod7=1</math><div class="mw-collapsible-content">		<div class="mw-collapsible mw-collapsed"><math>\scriptstyle a\bmod1=0;a\bmod2=1;a\bmod3=2;a\bmod4=3;a\bmod5=4;a\bmod6=5;a\bmod7=1</math><div class="mw-collapsible-content">
	{{#annotask:		{{#annotask:
Line 239:		Line 250:
	}}</div></div>		}}</div></div>
	<br>		<br>
			<div class="mw-collapsible mw-collapsed"><math>\scriptstyle a\bmod2=1;a\bmod3=2;a\bmod4=3;a\bmod5=1;a\bmod6=5;a\bmod7=1;a\bmod8=7;a\bmod9=8;a\bmod10=1</math><div class="mw-collapsible-content">
			{{#annotask:
			[[category: #find a number]]
			[[comment: a(mod2)=1,a(mod3)=2,a(mod)4=3,a(mod5)=1,a(mod6)=5,a(mod7)=1,a(mod8)=7,a(mod9)=8,a(mod10)=1]]
			}}</div></div>
			<br>
	<div class="mw-collapsible mw-collapsed"><math>\scriptstyle a^2+19=b^2</math><div class="mw-collapsible-content">		<div class="mw-collapsible mw-collapsed"><math>\scriptstyle a^2+19=b^2</math><div class="mw-collapsible-content">
	{{#annotask:		{{#annotask:

Aradin: /* Find One Number */

2022-11-07T06:33:57Z

Find One Number

← Older revision		Revision as of 06:33, 7 November 2022
Line 70:		Line 70:
	}}</div></div>		}}</div></div>
	<br>		<br>
	<div class="mw-collapsible mw-collapsed"><math>\scriptstyle X+\frac{1}{2}X+\frac{1}{5}X+\frac{1}{7}X=2</math><div class="mw-collapsible-content">		<div class="mw-collapsible mw-collapsed"><math>\scriptstyle a+\frac{1}{2}a+\frac{1}{5}a+\frac{1}{7}a=2</math><div class="mw-collapsible-content">
	{{#annotask:		{{#annotask:
	[[category: #find a number]]		[[category: #find a number]]
Line 76:		Line 76:
	}}</div></div>		}}</div></div>
	<br>		<br>
	<div class="mw-collapsible mw-collapsed"><math>\scriptstyle X+\frac{1}{2}\sdot\frac{1}{2}X+\frac{1}{3}\sdot\frac{1}{3}X+\frac{1}{5}\sdot\frac{1}{5}X=7</math><div class="mw-collapsible-content">		<div class="mw-collapsible mw-collapsed"><math>\scriptstyle a+\frac{1}{2}\sdot\frac{1}{2}a+\frac{1}{3}\sdot\frac{1}{3}a+\frac{1}{5}\sdot\frac{1}{5}a=7</math><div class="mw-collapsible-content">
	{{#annotask:		{{#annotask:
	[[category: #find a number]]		[[category: #find a number]]
Line 82:		Line 82:
	}}</div></div>		}}</div></div>
	<br>		<br>
	<div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(X+\frac{1}{3}X\right)+\left[\frac{2}{5}\sdot\left(X+\frac{1}{3}X\right)\right]+\left[\frac{3}{4}\sdot\left(X+\frac{1}{3}X\right)+\left[\frac{2}{5}\sdot\left(X+\frac{1}{3}X\right)\right]\right]=13</math><div class="mw-collapsible-content">		<div class="mw-collapsible mw-collapsed"><math>\scriptstyle\left(a+\frac{1}{3}a\right)+\left[\frac{2}{5}\sdot\left(a+\frac{1}{3}a\right)\right]+\left[\frac{3}{4}\sdot\left(a+\frac{1}{3}a\right)+\left[\frac{2}{5}\sdot\left(a+\frac{1}{3}a\right)\right]\right]=13</math><div class="mw-collapsible-content">
	{{#annotask:		{{#annotask:
	[[category: #find a number]]		[[category: #find a number]]

Aradin: /* Find One Number */

2022-11-07T06:29:48Z

Find One Number

@@ Line 68: / Line 68: @@
 	[[category: #find a number]]
 	[[comment: a+⅓a+⅖a=81]]
 }}</div></div>
 <br>

Aradin: /* Find Two Numbers */

2022-11-05T13:05:39Z

Find Two Numbers

← Older revision		Revision as of 13:05, 5 November 2022
Line 527:		Line 527:
	[[category: #find a number]]		[[category: #find a number]]
	[[comment: a/b=⁵/₇;(ab)²=a²√8]]		[[comment: a/b=⁵/₇;(ab)²=a²√8]]
			}}</div></div>
			<br>

			=== 8:a:b:27 ===

			<div class="mw-collapsible mw-collapsed"><math>\scriptstyle8:a:b:27</math><div class="mw-collapsible-content">
			{{#annotask:
			[[category: #find a number]]
			[[comment: 8/a/b/27]]
	}}</div></div>		}}</div></div>
	<br>		<br>

Aradin: /* Three Proportional Numbers */

2022-11-02T17:55:38Z

Three Proportional Numbers

← Older revision		Revision as of 17:55, 2 November 2022
Line 580:		Line 580:
	[[category: #find a number]]		[[category: #find a number]]
	[[comment: three proportional numbers]]		[[comment: three proportional numbers]]
			}}</div></div><br>

			<div class="mw-collapsible mw-collapsed"><math>\scriptstyle\begin{cases}\scriptstyle a:b=b:c\\\scriptstyle a\sdot b\sdot c=1000\end{cases}</math><div class="mw-collapsible-content">
			{{#annotask:
			[[category: #find a number]]
			[[comment: a·b·c=1000;a\b\c]]
	}}</div></div><br>		}}</div></div><br>