Question

the sum and difference of two number are 27 and 11 respectively then the number are

Answer 1

Let nos be x and y where x is greater than y.

x + y = 27
x - y = 11

Adding these 2 equations,
x + y + x - y = 38
2x = 38
x = 19

Substituting x = 19 in any of the above 2 equations, we get y = 8

Hence the 2 nos are 19 and 8.

Hope this helps! :-)

Answer 2

let the numbers be x and y
sum of the numbers are =27
x+y=27
again,
x-y=11
x=11+y
11+y+y=27
11+2y=27
2y=27-11
y=16/2
y=8
now,x+8=27
x=27-8
x=19
so the numbers are 19 and 8