Question

The sum of two number is 14 and the difference of their squares is 112.find those numbersThe sum of two number is 14 and the difference of their squares is 112.find those numbers

Answer 1

Step-by-step explanation:

The sum of two number is 14

$x + y = 14$

$x = 14 - y$

difference of their squares is 112

${x}^{2} - {y}^{2} = 112$

. Therefore

ans is

. 11 and 3

Verification

$11 + 3 = 14 \\ 14 = 14 \\ lhs \: = rhs$

${11}^{2} - {3}^{2} = 112 \\ 112 = 112 \\ lhs \: = rhs$