Question

The difference between two numbers is 18if their sum is86 what are the number

Answer 1

$\boxed{\boxed{\huge\bf\mathsf{52 ; 34}}}$

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Let the 2 numbers be x and y .

We know,

• Their sum = 86
• Their difference = 18

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So,

$\bf\mathsf {x + y =86 -----(1)}\\ \bf\mathsf{x - y = 18 -----(2)}$

By Elimination Method,

Adding Equation (1) and (2)...... We get,

$\bf\mathsf{=> 2x = 104}\\ \mathsf{=> x = 52}$

$\boxed{\mathbf{x = 52}}$

Now, Substituting Value of x in equation(2) we get,

$\bf\mathsf{=> 52 - y = 18}$

$\bf\mathsf{=> -y = -34}$

$\boxed{\mathbf{y = 34}}$

Hence, the numbers are 52 and 34.

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