Question

The difference of two numbers is 62, and the sum of twice the larger and three times the smaller is 304. Find the two numbers.

Answer 1

The numbers are 40 and 22

Explanation:

Let x and y be the two numbers; let x be the smaller number

x+y = 62

x = y-18

x+y = 62 becomes:

y-18+y = 62

2y-18=62

2y=80

y=40 (larger number)

x= y-18 = 40-18 = 22

Thus making the answers 40 and 22.