Janet is now 25 years younger than her mother Carol. If in 6 years Janets age will be half Carolandrsquo;s age, howold was Janet 5 years ago?a)10b)14c)16d)19e)25Correct answer is option 'B'. Can you explain this answer?

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Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

a)
10
b)
14
c)
16
d)
19
e)
25

Correct answer is option 'B'. Can you explain this answer?

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Janet is now 25 years younger than her mother Carol. If in 6 years Jan...

This is an algebraic translat ion problem dealing with ages. For this t ype of problem, an age chart can help us keep track of the variables:

Using the chart in combination with the statements given in the question, we can derive equations to relate the variables. The first statement tells us that Janet is now 25 years younger than her mother Carol. Since we have used J to represent Janet’s current age, and C to represent Carol’s current age, we can translate the statement as follows: J = C – 25.
The second statement tells us that Janet will be half Carol’s age in 6 years. Since we have used (J + 6) to represent Janet’s age in 6 years, and (C + 6) to represent Carol’s age in 6 years, we can translate the statement as follows: J + 6 = (1/2)(C + 6).
Now, we can subst itute the expression for C (C = J + 25) derived from the first equation into the second equation (note: we choose to subst itute for C and solve for J because the question asks us for Janet's age 5 years ago):
J + 6 = (1/2)(J + 25 + 6)
J + 6 = (1/2)(J + 31)
2J + 12 = J + 31
J = 19
If Janet is now 19 years old, she was 14 years old 5 years ago.

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Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, howold was Janet 5 years ago?a)10b)14c)16d)19e)25Correct answer is option 'B'. Can you explain this answer?

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