Question

Greg is 10 years older than his brother gabe.he is also 3 times as old as gabe.how old is gabe

Answer 1

The answer is below

Explanation:

Let us assume that the age of Greg's brother (Gabe) is x years, and let Greg's age by y years. Since Greg is 10 years older than his brother gabe, then:

y = x + 10 (1)

Also. Greg is 3 times as old as Gabe, hence:

y = 3x (2)

From equation 1 and equation 2:

y = x + 10 = 3x

Hence:

3x = x + 10

Subtracting x from both sides gives:

3x - x = x + 10 - x

2x = 10

Dividing by 2:

2x/2 = 10/2

x = 5 years

y = x + 10 = 5 + 10 = 15 years

Therefore Gabe is 5 years old and Greg is 15 years old