Question

The sum of three numbers is 106. The second number is 10 more than the first. The third number is 2 times the first. What are the numbers?

Answer 1

Explanation:

Sum: Add numbers together

Equation: x + x + 10 (10 more than first number) + 2x (2 times first number)= 106

4x + 10 = 106

4x = 96

x=24

Plug back into the equation for the 3 numbers. First number = 24, Second number = 34, Third number = 48.

Check to make sure they satisfy the equation. 24 + 34 + 48 = 106✓

Answer 2

Answer:

24, 34, 48

Steps:

S = F + 10

T = 2F

106 = F + S + T

Then plug in S and T into the equation;

106 = F + F + 10 + 2F

106 = 4F + 10

96 = 4F

F = 24

Then plug this into the S and T equations;

S = 24 + 10

S = 34

T = 2 * 24

T = 48