Question

Right now Jack’s age is greater than twice Fred’s age by 4. After 8 years, the sum of their ages is 59. Find Fred’s age.

Answer 1

Fred's age is 13 years

Let

Fred's age = x

Jack's age = 2x + 4

After 8 years:

• Fred's age = x + 8
• Jack's age = 2x + 4 + 8

= 2x + 12

• Sum of their ages = 59

Sum of their ages = Fred's age + Jack's age

59 = (x + 8) + (2x + 12)

59 = x + 8 + 2x + 12

59 = 3x + 20

59 - 20 = 3x

39 = 3x

x = 39/3

x = 13 years

Therefore, Fred's age = 13 years

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