Question

One year ago, the ratio of Honey and Piyush ages was 2: 3 respectively. After five years from now, this ratio becomes 4: 5. How old is Piyush now?​

Answer 1

Answer:

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Step-by-step explanation:

We are given that age ratio of Honey:-

Piyush = 2: 3

Honey’s age = 2x

and

Piyush’s age = 3x

One year ago,

their age was 2x and 3x.

Hence at present,

Honey's age = 2x +1

and

Piyush's age = 3x +1

After 5 years,

Honey’s age = (2x +1) + 5 = (2x + 6)

Piyush's age = (3x +1) + 5 = (3x + 6)

After 5 years,

this ratio becomes 4: 5.

Therefore,

=> (2x+6) / (3x+6) = 4/5

=>10x + 30 = 12x + 24

=> x = 3

Piyush's present age =

(3x + 1) = (3x 3 + 1) = 10 years

Honey's present age =

(2x + 1) = (2x 3 + 1) = 7 years

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Answer 2

We are given that age ratio of Honey: Piyush = 2: 3

Honey’s age = 2x and Piyush’s age = 3x

One year ago, their age was 2x and 3x.

Hence at present, Honey's age = 2x +1 and Piyush's age = 3x +1

After 5 years, Honey’s age = (2x +1) + 5 = (2x + 6)

Piyush's age = (3x +1) + 5 = (3x + 6)

After 5 years, this ratio becomes 4: 5. Therefore,

(2x+6) / (3x+6) = 4/5

10x + 30 = 12x + 24 ⇒ x = 3

Piyush's present age = (3x + 1) = (3x 3 + 1) = 10 years

Honey's present age = (2x + 1) = (2x 3 + 1) = 7 years