Question

Two numbers differ by 18. If 2/7 of the larger is 6 more than 1/4 of the smaller, find the two numbers

Answer 1

Explanation:

1) x-y=18

2) 2x/7-y/4=6

from 1) x=18+y substituting in 2)

2(18+y)/7-y/4=6

36/7+y(2/7-1/4)=6

y=(6-36/7)/(2/7-1/4)

y=(6/7)/(1/28)

y=24

x=18+y=18+24

x=42