CAT Exam Model Paper 3 with solutions for free online practice

Question : 70 of 100

Marks: +1, -0

Pooja, Shipra and Monika are three sisters. Pooja and Shipra are twins. The ratio of sum of the ages of Pooja and Shipra is same as that of Monika alone. Three years earlier the ratio of age Pooja and Monika was 2 : 7.What will be the age of Shipra 3 years hence?

Your Answer:

Validate

Solution:

Since Pooja and Shipra are twins so their ages be same. Let theirages be x and age of Monika be y, then,
x + x = y ... (1)
and

( x-3)/(y-3 )=2/7

⇒ 7 x − 2 y = 15
Now, from equation (1),7 x − 4x = 15
⇒ x = 5
So, the age of Shipra 3 years hence will be 5 + 3 = 8 years.

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