Question

Raman's current age is 7 time the age of his daughter, Dia. Five years from now, Dia's age will be twice her present age. Find Raman's age when his daughter was born .​​

Answer 1

Answer:

Required Answer:-

Let the age of Raman's daughter be x and age of Raman be y. Then according to question

⇒ x = 7y

⇒ Or, x - 7y = 0 -------(1)

Now adding 5 years to each of them. This is to equate the relation between their age after five years. Dia's age will be twice her present age.

Then,

⇒ x + 5 = 2x

⇒ x = 5

Raman's present age will be 7 × 5 = 35. When Dia was born, she was 0 years old. Then, Raman must be 35 - 5 = 30 years (Ans) old then.

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Answer 2

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x+5=2(y+5)

x+5=2y+10

x−2y=10−5

x−2y=5....

(x−x)+(−2y+3y)=5+10

i.e.

y=15

Substituting this value of y in (2),

we getx−30=5i.

e. x=5+30=35