Question

2. Steve is 1/6

as old as his grandfather. If the
6
sum of their ages is 63 years, how old is his
grandfather?

Answer 1

The grandfather's age is 54 years.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's assume Steve's age is x and his grandfather's age is y.

According to the given information, the ratio of Steve's age to his grandfather's age is 1/6. So we can write the equation:

x/y = 1/6

Since the sum of their ages is 63 years, we can also write the equation:

x + y = 63

We can solve this system of equations by substitution or elimination. Let's use substitution. Rearranging the first equation, we get:

x = (1/6)y

Substitute this expression for x in the second equation:

(1/6)y + y = 63

Combine like terms and solve for y:

(7/6)y = 63

y = 63/(7/6) = 54

So the grandfather's age is 54 years.