224k views
4 votes
Marc was born on his grandmother’s 56th birthday. In how many years will Marcs grandmother be 5 times as Marc will be then?

User Mikaraento
by
4.4k points

1 Answer

5 votes

Answer:

In 14 years Marc's grandmother will be 5 times as Marc will be then

Explanation:

1. Information given to us to solve the problem:

Marc's age today = 0

Marc's grandmother age today = 56

2. In how many years will Marc's grandmother be 5 times as Marc will be then?

x = Number of years when Marc's grandmother age will be 5 times as Marc will be then

Let's solve for x, this way:

5 times Marc age in x years = Marc's grandmother age in x years

5 (0 + x) = 56 + x

5x = 56 + x

5x - x = 56 (Subtracting x at both sides)

4x = 56

x = 56/4

x = 14

Let's prove that x = 14 is correct:

5 (0 + 14) = 56 + 14

70 = 70

We proved that x = 14 is correct

In 14 years Marc's grandmother will be 5 times as Marc will be then

User Steve Moser
by
4.3k points