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

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

74, 185

Step-by-step 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