SOLUTION: when asked her age, Miss Grundy refused to tell. After being begged for a hint, however, she finally admitted that in 12 years she hoped to br three times as old as she was 42 year

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Question 656787: when asked her age, Miss Grundy refused to tell. After being begged for a hint, however, she finally admitted that in 12 years she hoped to br three times as old as she was 42 years ago.
how old is she now ?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
when asked her age, Miss Grundy refused to tell. After being begged for a hint, however, she finally admitted that in 12 years she hoped to br three times as old as she was 42 years ago.
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Let a = her age now
In 12 years her age will be a + 12
Her age 42 years ago = a - 42
And her age in 12 years is 3 times her age 42 years ago:
a + 12 = 3(a - 42)
Solve for a:
a + 12 = 3a - 126
2a = 138
a = 69
So she is 69 years old now.
Check:
69+12 = 81 = 3(69-42) = 3(27)