A teacher is 8 times as old as his student Seven years hence the sum of their ages will be 70 years ...........

Quantitative Aptitude (CDS) Problems based on Ages

A teacher is 8 times as old as his student. Seven years hence the sum of their ages will be 70 years. What is the present age of the student?

12/17 years

56/9 years

66/5 years

88 years

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Explanation:

Let the present age of teacher be x years and the age of his student be y years.
From 1st condition, x = 8y …1
From 2nd condition,
(x + 7) + (y + 7) = 70
= x + y + 14 = 70
= x + y = 56 …2
Putting x = 8y in equation 2
8y + y = 56
= 9y = 56
= y = 56/9
Age of student = 56/9 years