The difference between 2 numbers is 16. Five times the smaller is the same as 8 less than twice the larger. Find the numbers.

2 answers

Just translate into math

larger --- x
smaller --- y

x-y = 16
5y = 2x - 8

from the first: y = x-16
5(x-16) = 2x - 8
5x - 80 = 2x - 8
3x = 72
x = 24 , then y = 8

the larger is 24, the smaller is 8

check:
difference is 24-8 = 16 , check!
five times the smaller = 40
twice the larger = 48
check!
Thank you