Question

if the sum of two numbers are 17 and the substration of same two numbers are 3 then what are the two numbers​

Answer 1

$\bold{\huge{\underline{\underline{\rm{ Given :}}}}}$

$sum \: of \: two \: numbers \: = 17 \\ substration \: of \: same \\ \: number = 3$

$\bold{\huge{\underline{\underline{\rm{ To\:Find :}}}}}$

That two numbers.

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$\huge{\underline{\underline{\purple{Solution→}}}}$

Let a and b are two numbers -

Then,

a + b = 17 ------(i)

a - b = 3 --------(ii)

Now equation (i) + (ii)

a + b = 17 ------(i)

a - b = 3 --------(ii)

___________________

2a = 20

a = 20/2

$\boxed{a = 10 }$

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Now put the value of a into equation (i) -

a + b = 17

10 + b = 17

b = 17 - 10

$\boxed{b<strong> </strong><strong>=</strong><strong> </strong><strong>7</strong><strong> </strong>}$

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Hence ,

• The numbers are 10 and 7.

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Hope it will help you .