The sum of two numbers is 36. The larger number is 12 more than the smaller number. What are the numbers?

Answer 1

Hello,

The word sum is translated to addition. This can be solved using variables. We can represent the smaller number with n and the larger number with n + 12.

Equation -> n + n + 12 = 36

Combine like terms: n + n = 2n

Equation -> 2n + 12 = 36

Use inverse of addition and subtract 12 from both sides

Equation -> 2n = 24

Use inverse of multiplication and divide both sides by 2 to get smaller number

ANSWER -> smaller number is 12 and 24 is larger number

Check : 12 + (12 + 12) = 36

Answer 2

36 = 12 + X

solve for X

X= 24

is 24 12 more than 12? yes because 12 + 12 is 24.

The small number is 12, the large number is 24 and they both sum up to equal 36.