reyneil24221
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Prabhat's age is one fourth of his father's age. Five years from now Prabhat's age will be one third of his father's present age. Find their present age.​

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10iinaseemii10

Answer:

Prabhat is 15 years old, and his father is 60 years old

Step-by-step explanation:

Prabhat's age right now is like a quarter of his dad's age, and in simpler terms, he's a bit younger. Now, fast forward five years, and we find out that Prabhat's age, plus those five years, will make him about a third of his dad's age back in the present. Crunching the numbers brings us to the answer that Prabhat's dad is currently celebrating 60 trips around the sun, while Prabhat is enjoying 15.

Let's denote Prabhat's current age as P and his father's current age as F.

Given:
1. Prabhat's age is one fourth of his father's age: P = F/4
2. Five years from now, Prabhat's age will be one third of his father's present age: P + 5 = (F + 5)/3

Now, let's solve the equations:
1. From the first statement: P = F/4
2. From the second statement: P + 5 = (F + 5)/3

Substitute the value of P from the first equation into the second equation:
F/4 + 5 = (F + 5)/3

Now, solve for F:
Multiply both sides by 12 to eliminate the denominators:
3F + 60 = 4(F + 5)
3F + 60 = 4F + 20
60 - 20 = 4F - 3F
40 = F

So, Prabhat's father's present age (F) is 40 years.

Now, substitute F = 40 into the first equation to find Prabhat's age (P):
P = F/4
P = 40/4
P = 10

Therefore, Prabhat's present age is 10 years and his father's present age is 40 years.

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