Diksha Prachi and Deepika are three sister Diksha and Prachi are twins The of sum of the ages of Dik...........

Quant (SSC) Problems based on Ages

Diksha, Prachi and Deepika are three sister. Diksha and Prachi are twins. The of sum of the ages of Diksha and Prachi is same as that of Deepika alone. Four years earlier the ratio of age of Diksha and Deepika was 3 : 7. What will be the age of Deeepika 4 years hence?

20 years

10 years

8 years

None of the above

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Explanation:

Since Diksha and Prachi are twins so their ages be same.
Let their ages be x and age of Deepika be y, then, x + x = y ...(i)
and (x - 4) /(y - 4) = 3 /7
⇒ 7x – 3y = 16
Now, from equation (i) putting y in terms of x, we get
7x – 6x = 16
⇒ x = 16
So, the age of Deepika 4 year,
Hence will be 2x + 4 = 32 + 4 = 36 years.