Find the Present Age of Alka? If

Present age of Alka is 8 times of her daughter’s age. 8 year hence, the ratio of the ages of Alka and her daughter will be 10:3. Find the present age of Alka?

  1. 30 years
  2. 35 years
  3. 36 years
  4. 32 years
Desire Adnan Default Asked on 4th August 2015 in Maths.
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1 Answer(s)

Answer: (4) 32 years
Explanation:-

Let the present age Alka’s daughter = X years
Present age of Alka is 8 times of her daughter’s age.
Then, The present age Alka’s mother = 8 X years

8 years hence,
The ratio of the ages of Alka and her daughter will be 10:3.
Then, (8 X + 8 ) / (X + 8 ) = 10 / 3
By cross multiplication,
3 x 8 X + 8 x 3 = 10 x X + 10 x 8
24 X + 24 = 10 X  + 80
24 X – 10 X = 80 – 24
14 X = 56
X = 56 / 14
X = 4 years

Then, the age of Alka 8 X = 8 x 4 = 32 years

Hence, the present age of Alka is 32 yeras.

Anurag Mishra Professor Answered on 6th August 2015.
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