Question

George is 12 years older than Jeannie the sum of their ages in 5 years will be 50 how old is Jennie now

Answer 1

To solve any questions relating to ages, I find it easier to make a table, like in the picture below.

See picture for answer and clear diagram.

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Notes/Explanations + answer in written form

Jennies age now = x

So Georges age now would be: x + 12   (since he is 12 years older)

Jennies age in 5 years would be: x + 5   (since it is 5 years later)

Georges age in 5 years would be: x + 12 + 5 = x + 17

We are told that their ages in 5 years would add up to 50. So we can write an equation like so:

x + 17   +   x + 5 = 50                 (All you have to do now is solve it)

2x + 22 = 50                             (combine like terms)

2x = 28                                      (subtract 22 from both sides)

x = 14                                         (divide both sides by two)

That means that Jennies age is 14 years

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Note:

Please comment below if you have any questions - I would be more that happy to help / explain anything!

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Answer 2

Answer:

14 years old

Explanation:

Use this system of equations if G=George and J=Jeannie:

G-12=J

50=(G+5)+(J+5)

So, change second equation becomes

40-G=J

Then use substitution:

G-12=40-G

2G=52

G=26

Then, to find Jeannie’s age, go back to one of the equations and substitute G.

26-12=J

So, J=14

Jeannie is currently 14 years old.