Math, asked by Dhingraarun6924, 1 year ago

One year ago the ratio of honey and piyush ages was 2:3 respectively after five yerars from now this ratio becomes 4:5 how old is piyush now

Answers

Answered by sailorking
19

Answer:

10

Step-by-step explanation:

Let Honey's present age be H

And Piyush's present age be P

Thus,

According to question.

One year back,

(H - 1) / (P - 1) = 2 / 3

Thus, 3 * (H - 1) = 2 * (P - 1)

         3H - 3 = 2P - 2

         3H - 2P = 1             Equation 1

Similarly,

After 5 years,

(H + 5) / (P + 5) = 4 / 5

Thus

5 * (H + 5) = 4 * (P + 5)

4P - 5H = 25 - 20

4P - 5H = 5                      Equation 2


Now, multiplying Equation 1 by 2 and adding it to Equation 2

6H - 5H = 5 + 2

H = 7

Putting H in Equation 1

3 * 7 - 2P = 1

21 - 2P = 1

2P = 20

Thus P = 10

Hence Piyush's age is 10 years

Answered by BRAINLYARMY001
2

Answer:

hlo

your answer is here !

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Let Honey's present age be H

And Piyush's present age be P

Thus,

According to question.

One year back,

(H - 1) / (P - 1) = 2 / 3

Thus, 3 * (H - 1) = 2 * (P - 1)

         3H - 3 = 2P - 2

         3H - 2P = 1             Equation 1

Similarly,

After 5 years,

(H + 5) / (P + 5) = 4 / 5

Thus

5 * (H + 5) = 4 * (P + 5)

4P - 5H = 25 - 20

4P - 5H = 5                      Equation 2

Now, multiplying Equation 1 by 2 and adding it to Equation 2

6H - 5H = 5 + 2

H = 7

Putting H in Equation 1

3 * 7 - 2P = 1

21 - 2P = 1

2P = 20

Thus P = 10

Hence Piyush's age is 10 years

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