Question

Present ages of Anu and Raj are in the ratio 4:5. Eight years from now
the ratio of their ages will be 5:6. Find their present ages.
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Answer 1

Step-by-step explanation:

Present ages of Anu and Raj are in the ratio 4:5. Eight years from now the ratio of their ages will be 5:6. What are their present ages?

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Let the rational between ages of Anu and Raj be x

Present ages of Anu and Raj are in the ratio 4:5. So their ages are 4x and 5x

Eight years from now the ratio of their ages will be 5:6

8 years from now their ages, 4x + 8 and 5x + 8

Their ratio is 5 : 6

4x + 8/5x + 8 = 5/6

Cross multiplication

5 (5x + 8) = 6 (4x + 8)

25x + 40 = 24x + 48

25x - 24x = 48 - 40

x = 8

The rational is 8, their ages

Anu’s present age 4x = 4 × 8 = 32 years

Raj's present age 5x = 5 × 8 = 40 years

Answer the present ages of Anu is 32 years and present age of Raj is 40 years.

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Let their present age be 4a and 5a.

After 8 years, their ages will be (4a+8) and (5a+8)

Ratio would be (4a+8) : (5a+8)

But this ratio is given to be 5:6. Therefore

(4a+8) : (5a+8) = 5:6

solve this (4a+8) / (5a+8) = 5/6

=> 6 x (4a+8) = (5a+8) x 5

=> 24a + 48 = 25a + 40

=> a = 8

So their present age would be

4a = 4x8 = 32

5a = 5x8 = 40

Present ratio 4:5

Difference between ratios 5–4 =1

+8 years ratio 5:6

Difference between ratios 6–5=1

So both are equal and take any one means 5–4 =1 or 6–5 =1

Difference between years present and +8 years is 8 years

1 parts is 8 years

Now multiply present ratio with 8 then

Ages are 32 and 40

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The ratio of the present ages of Sunitha and Vinitha is 4:5. Six years hence the ratio of their ages will be 14:17. What will be the ratio of their ages 12 years hence?

Hello guys.

The ratio of present ages of Anu and Raj is 4:5.

Let k be the common multiple.

So the age of Anu is 4k and that of Raj is 5k.

After 8 years.

Age of Anu is 4k+8.

Age of Raj is 5k+8 .

The ratio is 5:6

i.e. 4k+8/5k+8= 5/6

24k+48 = 25k + 40.

k = 8.

The present age of Anu is 4k = 32 and present age of Raj is 5k = 40 .

So, the present ages of Anu and Raj are 32 years and 40 years respectively.

Hope this answer helps you. Have a good day!!!

Answer 2

Answer:

5:6.

Step-by-step explanation:

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