Problema Solution

My son is seven times older than my grandson and I am 12 times older than my grandson. If you add all our ages together, the sum is 100 years. Can you tell me my age in years?

Answer provided by our tutors

Let


x = represent the age of the grandmother in year, x>0


(1/12)x = the age of the grandson


7*(1/12)x = the age of the son


If you add all our ages together, the sum is 100 years:


x + (1/12)x + (7/12)x = 100

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x = 60 years


The age of the grandmother is 60 years.