Question

The ages of Anu and Sumi are in the ratio 6:5.five years later the sum of their ages will be 50years .what are their present ages.
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Answer 1

Answer :

Anu's present age = 21 9⁄11 years

Sumi's present age = 18 2⁄11 years

Solution :

Here ,

It is gven that , the ages of Anu and Sumi are in the ratio 6:5 .

Thus ,

Let's assume that ;

Anu's present age = 6x

Sumi's Present age = 5x

Also ,

Anu's age 5 years later = 6x + 5

Sumi's age 5 years later = 5x + 5

Now ,

According to the question , 5 years later the sum of ages of Anu and Sumi will be 50 years .

Thus ,

=> 6x + 5 + 5x + 5 = 50

=> 11x + 10 = 50

=> 11x = 50 - 10

=> 11x = 40

=> x = 40/11

Now ,

• Anu's present age

= 6x

= 6×(40/11)

= 240/11

= 21 9⁄11

• Sumi's present age

= 5x

= 5×(40/11)

= 200/11

= 18 2⁄11

Hence ,

Anu's present age = 21 9⁄11 years

Sumi's present age = 18 2⁄11 years