Question

Two years ago, Ram was thrice as old as his daughter and six years later,
he will be four years older than twice her age. How old are they now?

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Answer 1

two years ago,Ram was thrice as old as his daughter and six years later

Answer 2

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Let the age of Raju be ‘ x ’ and the age of daughter = ‘ y ’ both in year

Then 2 years back their ages are x - 2 and y - 2

∴ By the given condition

️ ➭ x - 2 = 3(y - 2)

️ ➭ x - 3y = -4 ………(i)

️ Again six years later their age will be x + 6 and y + 6 respectively.

∴ By the given condition

️ ➭ x + 6 = 2(y + 6) + 4

➭ x - 2y = 10 ………(ii)

Subtraction from (ii) from (i) , we get

➭ -y = -14

➭ y = 14

Put y = 14 in equation (i) , we get

️➭ x - 3 × 14 = -4

️➭ x = 38

∴ x = 38 ; y = 14

So, Raju's present age = 38 years

Raju's daughter age = 14 years

Hence Verified