Question

Present age of anu and raj are in the ratio 4:5 eight years from now the ratio of their ages will be 5:6. What is anu's present age

Answer 1

Answer:

Present age of Anu is 32 years

Step-by-step explanation:

Given that the present age of anu and raj are in ratio 4 : 5

Let present age of Anu be$4x$ years

Let present age of Raj be $5x$ years

After 8 years,

Age of Anu be$4x + 8$ years

Age of Raj be $5x + 8$ years

Ratio of ages eight years from now is 5 : 6

Thus, we have

$\frac{4x + 8}{5x + 8} = \frac{5}{6}\\\\ 6(\,4x + 8)\, = 5(\,5x + 8)\,\\\\ 24x + 48 = 25x + 40\\\\ 25x - 24x = 48 - 40\\\\x = 8$

Thus, Present age of Anu $=4 \times 8 = 32$ years

Answer 2

✬ Anu's age = 32 Years ✬

Step-by-step explanation:

Given:

• Present age of Anu and Raj are in ratio 4 : 5.
• Eight years from now their ages will be in ratio 5 : 6.

To Find:

• What is the present age of Anu ?

Solution: Let x be the common in given ratios. Then,

• Anu age = 4x Years
• Raj age = 5x Years

Now, 8 years later their ages will be

• Anu age = (4x + 8) years
• Raj age = (5x + 8) years

A/q,

→ After 8 years ages of Anu and Raj will be in ratio of 5 : 6.

$\implies{\rm }$ (Anu age) : (Raj age) = 5:6

$\implies{\rm }$ (4x + 8) : (5x + 8) = 5 : 6

$\implies{\rm }$ (4x + 8) / (5x + 8) = 5/6

$\implies{\rm }$ 6(4x + 8) = 5(5x + 8)

$\implies{\rm }$ 24x + 48 = 25x + 40

$\implies{\rm }$ 48 – 40 = 25x – 24x

$\implies{\rm }$ 8 = x

So, Present ages of both are

➯ Anu present age = 4x = 4(8) = 32 years.

➯ Raj present age = 5x = 5(8) = 40 years.