Question

Find two numbers such that 4 times the first number minus 4 times the second number equals 24 and twice the first number plus the second number equals 30

Answer 1

let
two nos. be x and y
A.T.Q

4x-4y=24
dividing eq^ by 4
x-y= 6...............(1)

now,
2x + y =30..........(2)

solving (1) and (2)
x-y=4
2x+y =30
__________
3x=34
x=34÷3

now, put x=34/3 in eq 2
2 × 34/3 +y =30
68/3 + y = 30
y = 30- 68/3
y = 90-68/3
y = 22/3.....