Question

sum of two positive numbers is 88. When one is divided by other, quotient is 10. Find the number​

Answer 1

Answer:

accrodi g to the quesion

let the two positive numbers be x and y

[tex]\large{x+y=88}[/tex]...

.(1)

$\large{</strong><strong>x</strong><strong>/</strong><strong>y</strong><strong>=</strong><strong>1</strong><strong>0</strong><strong>}[/</strong><strong>tex</strong><strong>]</strong></p><p></p><p><strong>(</strong><strong>2</strong><strong>)</strong><strong>.</strong><strong>.</strong><strong>.</strong></p><p></p><p><strong>solving</strong><strong> </strong><strong>(</strong><strong>1</strong><strong>)</strong><strong> </strong><strong>and</strong><strong> </strong><strong>(</strong><strong>2</strong><strong>)</strong><strong> </strong><strong>by</strong><strong> </strong><strong>substituion</strong><strong> </strong><strong>method</strong></p><p></p><p><strong>x</strong><strong>=</strong><strong>1</strong><strong>0</strong><strong>y</strong><strong>.</strong><strong>.</strong><strong>.</strong><strong>.</strong><strong>.</strong><strong>(</strong><strong>3</strong><strong>)</strong></p><p><strong>putting</strong><strong> </strong><strong>the</strong><strong> </strong><strong>value</strong><strong> </strong><strong>of</strong><strong>(</strong><strong> </strong><strong>3</strong><strong>)</strong><strong> </strong><strong>in</strong><strong> </strong><strong>(</strong><strong>1</strong><strong>)</strong><strong> </strong><strong>weget</strong></p><p></p><p><strong>[tex]\large{</strong><strong>1</strong><strong>0</strong><strong>y</strong><strong>+</strong><strong>y</strong><strong>=</strong><strong>8</strong><strong>8</strong><strong>}$

$\large{</strong><strong>1</strong><strong>1</strong><strong>y</strong><strong>=</strong><strong>8</strong><strong>8</strong><strong>}$

$\</strong><strong>b</strong><strong>o</strong><strong>x</strong><strong>e</strong><strong>d</strong><strong>{</strong><strong>y</strong><strong>=</strong><strong>8</strong><strong>}$

putting this value in(3) we get

$\large{</strong><strong>X</strong><strong>=</strong><strong>1</strong><strong>0</strong><strong>y</strong><strong>}$

$\large{</strong><strong>X</strong><strong>=</strong><strong>1</strong><strong>0</strong><strong>(</strong><strong>8</strong><strong>)</strong><strong>}$

$\</strong><strong>b</strong><strong>o</strong><strong>x</strong><strong>e</strong><strong>d</strong><strong>{</strong><strong>X</strong><strong>=</strong><strong>8</strong><strong>0</strong><strong>}$

The positive numbers are 8 and 80

Answer 2

Answer:

x + y = 88 __________(1)

x/y = 10_____________(2)

i.e.x = 10y

put x = 10y in equation 1

10y + y = 88

11y = 88

y = 88/11

y = 8

now put y = 8 in the equation 1 we get the value of x

x + 8 = 88

x = 88 - 8

x = 80

Hope it will help you

#VJ