Question

Jamie's age is 3 more than twice Alex's age. The sum of their ages is 75. How old is Jamie?

Answer 1

Jamie is 51 years old and Alex is 24 years old.

Explanation:

Let Alex be Y and Jamie's be X.

x = 3 +2Y.,....(1)

X + Y = 75..... (2)

Substituting for x in Eqn (2)

3 + 2Y + Y = 75

3 + 3Y = 75

3Y = 75 -3

3Y = 72

.: Y = 24

Putting back Y as 24 in Eqn (1) we have;

x = 3 + 2× 24

X = 3 + 48

X = 51

X + Y = 75; 51 + 24 = 75

X = 3 + 2Y

X = 3 + 2×24 = 3 + 48

X =51

.: the statement holds.

Jamie is 51 years old and Alex is 24 years old.