Question

Five times the result of adding one to a certain number, is equal to four times the number, plus three. Find the number

Answer 1

The number is -2

Explanation:

Let the number = x

Given that:

Five times the result of adding one to a certain number, is equal to four times the number, plus three.

The equation will be:

5(x+1) = 4x +3

Simplifying

5x + 5 = 4x +3

Taking terms with x on left side and others on right side

5x - 4x = 3 - 5 (sign of transferred terms will be changed)

x = -2

Proof :

Condition 1:

• number = -2

• Add one = -2 +1 = -1
• Multiply 5 = -5

Condition 2:

• 4 times of number = 4 (-2) = -8
• Add 3 = -8 +3 = -5

Hence both conditions have same answer.

I hope it will help you!