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28-09-2017
Mathematics

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Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.

What is the youngest age Juanita's cousin can be?

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28-09-2017

x = y + 13 where x and y are Juanita and her cousin's age.

x + y >= 103

substituting for x:-

y + 13 + y >=103
2y >= 90
y >= 45

Answer is 45.

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