Question

the sum of two numbers is 112 and their difference is 62. find the numbers

Answer 1

hey..

x+y = 112 ........ (1)
x-y = 62............ (2)

from (1) and (2)

2x = 174
x = 174/2
x = 87

sub x = 87 in (1)

x+y = 112
87+y = 112
y = 112 - 87
y = 25

so the numbers are 87 and 25

Answer 2

The sum of 2 numbers =112
The difference of such numbers=62
let the numbers be x & y,

X+y=112------1
X-y=62--------2

Equating both eqn,
X+y=112
x-y=62
________
2y=50
Y=25

Putting y=25 in eqn 2,
X-y=62
X=62+25
=87


Hence x=87
Y=25