Question

Amar was as old as Anthony is now, when Akbar was as old as Anthony was 3 years ago . If the sum of their present age is 37 years and the ratio of present ages if Akbar and Anthony is 6:5, how much percent more is the sum of the ages of Amar and Akbar more than the sum of present ages of Amar and Anthony?

Answer 1

Answer:

8%

Step-by-step explanation:

Define x:

Let Anthony be x years old now

When Akbar = x - 3, Amar = x years old

⇒ Difference in their age is 3.

⇒ Amar is 3 years older than Akbar

The ratio of Akbar and Anthony is 6:5

⇒ Akbar = 6/5 x

Since Amar is 3 years older than Akbar

⇒ Amar = 6/5 x + 3

Solve x:

Their total age is 37

x + 6/5 x + 6/5 x + 3 = 37

17/5 x =34

x = 10

Find their age:

Anthony = x = 10 years old

Akbar = 6/5 x = 6/5 (10) + 12 years old

Amar = 6/5 x + 3 = 5/6 (10) + 3 = 15 years old

Find the sum of Amar and Akbar

Sum = 12 + 15 = 27

Find the sum of Amar and Anthony:

Sum = 15 + 10 = 25

Find the difference:

Difference = 27 - 25 = 2

Find the percentage difference:

Percentage difference = 2/25 x 100 = 8%

Answer: 8%

Answer 2

Answer:

8%

Step-by-step explanation:

Because