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Aptitude · Q21

Ratio

Competitive Exams · Aptitude · question 21

Q21

The present ratio of ages of A and B is 4 : 5. 18 years ago, this ratio was 11 : 16. Find the sum total of their present ages.

A.
90 years
Answer
B.
105 years
C.
110 years
D.
80 years
E.
95 years

Answer: Option A

Solution

Answer: Option A
Solution:
Let present age of A and B be 4x and 5x
18 years ago their ages

Or, 64x - 288 = 55x - 198
Or, 64x - 55x = -198 + 288
Or, 9x = 90
Or, x = = 10
Sum of the present ages = 40 + 50 = 90 years