Question

This year Albert and his grandfather's ages total to 64 years. In 3 years, Albert's grandfather will be 6 times as old. How many years older than Albert is his grandfather this year?

Answer 1

Answer: Albert's grand father is 50 years older that Albert this year.

Step-by-step explanation:

Let x represent Albert's age this year.

Let x represent Albert's grandfather age this year.

This year Albert and his grandfather's ages total to 64 years. This means that

x + y = 64- - - -- - - - - -1

In 3 years, Albert's grandfather will be 6 times as old. This means that

y + 3 = 6(x + 3)

y + 3 = 6x + 18

y = 6x + 18 - 3

y = 6x + 15

Substituting y = 6x + 15 into equation 1, it becomes

x + 6x + 15 = 64

7x = 64 - 15 = 49

x = 49/7

x = 7

y = 6x + 15 = 6 × 7 + 15

y = 57

The difference between their ages is 57 - 7 = 50 years