Question

Two numbers are such that their sum is $15$ and their difference is $1/5$ of their sum, the numbers are_____.

• A. $(12,3)$
• B. $(11,4)$
• C. $(9,6)$
• D. $(14,1)$

Answer 1

The correct option is C $(9,6)$

let the numbers be x,y

as per question

$x+y=15-\left(1\right)$

$x-y=5-\left(2\right)$

soving eqs.(1) and (2)

we get,'

x=10,y=5