Problema Solution

two numbers are such that thrice the smaller number exceeds twice the greater one by 18, and 1/3 of the smaller and 1/5 of the greater are together 21. Find the numbers.

Answer provided by our tutors

let larger be x and smaller be y

3y-2x = 18

y/3 +x/5 = 21

5y+3x= 315

10y+6x+9y-6x = 630+54

19y = 684

y = 36

x = 45