The larger of two numbers is 8 less than 3 times the smaller number. If the sum of the two numbers is 32, what is the value of the larger number?

Question

find largest and smallest number

Answer 1

L= 3S-8

L+S = 32

S=32-L

L= 3(32-L)- 8 = 96 -3L - 8 = 88 -3L

4L= 88

L = 88/4 = 22 = the larger number

S=32-22 = 10 = the smaller number

22 = 3(10)-8 = 30-8 = 22