The sum of the two numbers is 510. Find these numbers if 12% of one number is 60% of the other

Answer 1

.12x = .6y

multiply both sides by 10

12x = 60y

divide both sides by 6

2x = 10y

divide both sides by 2

x = 5y

x+y = 510

substitute 5y for x

5y+y = 510

6y = 510

y = 510/6 = 85

x = 510-85 = 425

the numbers are 85 and 425

check the solutions

12% of 425 = 60% of 85

.12(425) = .6(85

51 = 51