Question

Applications of linear equations

One number is 7 more than another number. If the smaller number is doubled and added to 3 times the larger number, the sum is 86. Find the two numbers.

Smaller number=
Larger number=
(Type the integers or decimals.)

Answer 1

Bigger number: 20

Smaller number: 13

Explanation:

Let smaller number = x

Bigger number. = x + 7

From the question; 2x + 3(x + 7) = 86

2x + 3x + 21 = 86

5x + 21 = 86

5x = 86 - 21

5x = 65

x = 13

Therefore the smaller number is 13, and the bigger number is 13 + 7 = 20