Question

Eric's grandfather is 55 years older than Eric. Seven years from now, Erica grandfather will be 6 times as old as Eric is at that time. How old is Eric's grandfather

Answer 1

To solve for Eric's grandfather's current age, we set up two equations based on the information given. After solving a system of equations, we can determine Eric's age and then add 55 to find his grandfather's age.

Step-by-step explanation:

Let's denote Eric's current age as E, and his grandfather's current age as G. According to the information given, Eric's grandfather is 55 years older than Eric, this can be written in equation form as:

G = E + 55

Seven years from now, the ages will increase by 7 for both Eric and his grandfather. The future age of Eric's grandfather will be G + 7, and Eric's future age will be E + 7. The problem states that seven years from now, Eric's grandfather will be six times Eric's age at that time. This gives us the second equation:

G + 7 = 6(E + 7)

To find Eric's grandfather's current age, we need to solve this system of equations:

1. Substitute the expression for G from the first equation into the second equation: E + 55 + 7 = 6(E + 7)
2. Simplify and solve the equation for E to find Eric's current age.
3. Once we have Eric's age, substitute it back into G = E + 55 to find the grandfather's current age.

Answer 2

Step-by-step explanation:

I assume the question is asking for Eric's grandfather age now.

Let Eric's age now be x. Then Eric's grandfather age now is (x + 55).

In 7 years, Eric's age will be (x + 7) and Eric's grandfather age will be (x + 62).

We know that (x + 62) = 6(x + 7).

x + 62 = 6x + 42

5x = 62 - 42 = 20

x = 4.

Answering the question: Eric's grandfather age now is (4 + 55) = 59 years old.