Monika Neha and Bharti are three sister Monika and Neha are twins The ratio of sum of the ages of Mo...........

Quant (SSC) Problems based on Ages

Monika, Neha and Bharti are three sister. Monika and Neha are twins. The ratio of sum of the ages of Monika and Neha is same as that of Bharti alone. Three years earlier the ratio of age of Monika and Bharti was 5 : 11. What will be the age of Bharti 7 years hence?

20 years

10 years

30 years

None of these

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Explanation:

Since Monika and Neha are twins so their ages be same.
Let their ages be x and and age of Bharti be y, then,
x + x = y .......(i)
and (x - 3) /(y - 3) = 5 /11
⇒ 11x – 33 = 5y – 15
⇒ 11x – 5y = 18
Now, from equation (i) putting y in terms of x, we get
11x – 10x = 18
⇒ x = 18
So, the age of Bharti 7 years hence will be 18 + 18 + 7 = 43 years.