206k views
2 votes
Write the following as an equation. Then solve. Twice the sum of a number and 3 is equal to three times the difference of the number and 4. Find the number.

User Landy
by
8.8k points

1 Answer

3 votes
Answer:

The number is 18

Step-by-step explanation:

Let the number be represented by x

The sum of the number and 3 = x + 3

Twice the sum of the number and 3 = 2(x + 3)

The difference of the number and 4 = x - 4

Three times the difference of the number and 4 = 3(x - 4)

Twice the sum of the number and 3 = Three times the difference of the number and 4

2(x + 3) = 3(x - 4)

2x + 6 = 3x - 12

Collect like terms

3x - 2x = 6 + 12

x = 18

The number is 18

User Chris Loughnane
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.