Question

$\sf\red\;QUESTION:-$
A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago the age of the father was five times the age of the son. Six years from now the son’s age will be:

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Answer 1

QUESTION:-

A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago the age of the father was five times the age of the son. Six years from now the son’s age will be ?

EXPLANATION:-

GIVEN:-

• A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago the age of the father was five times the age of the son

EXPLANATION:-

Let the present age of son  is x years

Then the present age of father will be=(60-x) years

Age of father 6 years ago=54-x years

Similarily age of son 6 years age=x-6 years

Now, A.T.Q

54-x=5(x-6)

54-x=5x-30

54+30=5x+x

84=6x

x=84/6

x=14

So the value of x is 14 years,Which implies that,

Son age after 6 years =14+6

Son age after 6 years=20 years

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Answer 2

Given :-

▪ A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago the age of the father was five times the age of the son.

To Find :-

▪The age of the son after 6 years.

Solution :-

✏According to 1st condition:-

Let the present age of the son be x years

& the father's age is (60-x) years.

✏According to the 2nd condition:-

The age of the father six years ago

= (60-x) -6

= (54-x) years

& the age of the son will be ( x-6) years.

✏As per the question, we have

54 -x = 5(x-6)

➯ 6x =84

➯ x = 14

Hence, the sons age after 6 years

= x+6

= 14+6

= 20 years

So, the correct option is C) 20 years.

✧Thanks ✧