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A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.

Please include your working out!!

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A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.


Please include your working out!!
answered
User Tedpac
by
9.6k points
6 votes

Answer:

Daughter's age = 6

Father's age = 34

Explanation:

Let the age of daughter be x

Then the age of father will be x + 28

In 6 years time:-

The age of father = x + 28 + 2 = 30 + x

The age of daughter = x + 6

According to the question,

Father will be three times the age of his daughter.

30 + x = 3(x + 6)

30 + x = 3x + 18

x - 3x = 18 - 30

-2x = - 12

x = - 12/-2

x = 6

So therfore,

Daughter's present age = 6 years

Father's present age = 34 years

Hope this helps :)

answered
User John Corbett
by
7.4k points

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