Question

Two numbers differ by 28,when each number is increased by 8,the bigger becomes thrice the smaller number.Find these numbers.

Answer 1

Step-by-step explanation:

let the bigger number be : x

let the smaller number be : y

1st Case

x-y=28 equation 1

2nd case

numbers are increased by 8

therefore (x+8) and (y+8)

x+8=(y+8)3

x+8=3y+24

x-3y= 16 equation 2

multiply equation 1 by -1

adding 1 and 2

-2y=-12

y =6

x =34

equating 1