Question

The sum of two numbers is 35.the smaller number is 7 less than the larger number.what are the numbers?

Answer 1

smaller number = 14

larger number = 21

Explanation:

Let x be the smaller number and y the larger number.

x + y = 35

y = x + 7

Substitute the second equation to the first equation.

x + (x + 7) = 35

x + x + 7 = 35

2x + 7 = 35

2x = 35 - 7

2x = 28

x = 28 ÷ 2

x = 14

Solve for y:

y = x + 7

y = 14 + 7

y = 21

Now check.

x + y = 35

14 + 21 = 35

35 = 35 (correct)

Answer 2

14 and 21

14 + 7 is 21 and 14 + 21 is 35.