Question

The number 120 is separated into 2 parts.The larger part exceeds three times the smaller by 12.what is the size of the smaller part?

Answer 1

27

Explanation:

The number 120 is separated into 2 parts. The larger part exceeds three times the smaller by 12. what is the size of the smaller part?

The larger part exceeds three times the smaller by 12.

x = smaller number

y = bigger number

Equation: 3x+12 = y

Since you have the sum:

3x+12+x = 120

3x+x = 108

4x = 108

x = 27

Answer 2

You are given the number 120 that is separated into 2 parts. You are also given that the larger part exceeds three times the smaller by 12. You are asked to find the the size of the smaller part. To solve this, establish an equation. Let us denote x as the size of the smaller part.

It is also said that "larger part exceeds three times the smaller by 12" and converting it into an equation, we have
3x + 12

And since the sum of two parts is 120, equate 3x + 12 to 120

3x + 12 = 120
3x = 120 - 12
3x = 108
x = 36