157k views
2 votes
B. The sum of three numbers is 51. The second number is three more than the first number, and the third number is

Two times the value of the first number. What are the three numbers?

User ClaudiaR
by
5.2k points

1 Answer

3 votes

Answer:

12, 15, 24

Explanation:

Let 1st # = x

Let 2nd # = x+3

Let 3rd # = 2x

Your equation is: x + (x+3) + 2x = 51

Add up all the x: x + x +3 +2x =51

Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3

Divide 4 from both sides: 4x / 4 = 48 / 4

Your 1st number is x = 12

For the 2nd # it is 3 more than x so 12 + 3 = 15

For the 3rd # it is 2 times x so 2(12) = 24

Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51

Does it equal to 51 as stated in the question? Yes, answers check out.

User Cleyton
by
5.3k points