Question

Find two numbers if their ratio is 2:5 and the difference is 111.

Answer 1

2x=5y
x-y=111

x=111+y

so 2x=5y is
2(111+y)=5y
222+2y=5y
2y-5y=-222
-3y=-222 (divide by -3 both sides of the equation)
y=-222/(-3)= 74

x=111+y = 111 +74 = 185

so the first number is 185 and the second is 74

Answer 2

74, 185

Explanation:

The difference in ratio units is 5-2 = 3, so each ratio unit stands for 111/3 = 37. The numbers are:

... 2×37 = 74

... 74 + 111 = 185