Question

The larger of two numbers is twelve more than the twice smaller number. The sum of the numbers is 42. Find the two numbers . Please set up a , set up the equation , and then solve the equation .​

Answer 1

The smaller number: a = 10

The larger number is 32

Explanation:

a - the smaller number

2a - twice the smaller number

2a+12 - twelve more than the twice smaller number (the larger number)

a + 2a+12 - the sum of the numbers

a + 2a+12 = 42

-12 -12

3a = 30

÷3 ÷3

a = 10

2a+12 = 2×10+12 = 20+12 = 32

Check: 10+32=42