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
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
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