Question 25
HardOriginal questionThe product of Nisha's age 3 years ago and her age 3 years from now is 160. What is her present age?
Show the answer and explanation
CorrectNot quiteAnswer C
Correct answer: C
Explanation
Let her present age be . Then .
, so .
(an age cannot be negative).
Check: .
Worth noting
10 and 16 are her ages 3 years ago and 3 years ahead. The product of and is , a quick identity that saves solving a full quadratic.
- Concept
- Quadratic from a product of past and future ages
- Typical timeTypical
- 100 s
- Your timeYours
- —
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Ten questions from Ages & Problems on Numbers, at your own pace.