A problem by pooja hariharan

Level pending

A lady takes her triplets and a younger niece to a restuarant on the birthday of the triplets. The restaurant charges Rs.75 for the mother and Rs 5 for each completed year of a child's age. If the total bill is Rs160 and if her niece is younger than her triplets coins be he age of the triplets.


The answer is 5.

Pooja Hariharan by pooja hariharan , 22, India

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1 solution

Michael Fischer
Oct 11, 2014

t = age of each triplet (integer>0)

n = age of younger niece (integer>0)

Then 160 = 75 + 3 × 5 × t + 5 × n = 75 + 15 × t + 5 × n 160 = 75 + 3 \times 5 \times t + 5 \times n = 75 + 15 \times t + 5 \times n

17 = 3 × t + n 17 = 3 \times t + n

t = 17 − n 3 = 5 − 2 − n 3 t = \frac{17-n}{3} = 5 - \frac{2-n}{3}

So, the niece is 2 and the triplets are 5.

I am assuming that due to a typo, the phrase, "coins be he"

in the penultimate line should be "what is the"

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