Question

The sum of two numbers is 62 . The smaller number is 14 less than the larger number. What are the numbers?

Answer 1

24 and 38

Explanation:

If we assign the variables x and y to the two numbers we can set up two equations,

x+y = 62

x = y + 14

Substituting the second equation into the first,

(y+14)+y = 62

2y + 14 = 62

subtract 14 on both sides

2y = 48

divideboth sides by 2

y = 24

If y = 24, then x = 38 because x is 14 more than y.

Answer 2

the 2 numbers are 38 and 24