Question

the present ages of vishal and hishal are in the ratio4:5.eaght year hence the ratio of their ages will be 5:6. find theur age.

Answer 1

$\underline\bold\pink{\huge{HELLO\:DEAR}}$


$\underline\bold\red{\huge{ANSWER : }}$



Let the present ages of Vishal and Hishal be
4x years and 5x years respectively.

After 8 years,

Vishal's age = 4x+8
Hishal's age = 5x+8

Also, the ratio is given 5:6

So, according to the given problem,

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


So, present age of Vishal = (4×8) years = 32 years.
Present age of Hishal = (5×8) years = 40 years



✨✨✨✨ ALWAYS BE BRAINLY ✨✨✨✨

Answer 2

$<b>Heya mate. (^_-). Solution below.$
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$<u>Your Question -</u>$

The present ages of Vishal and Hishal are in ratio 4:5. Eight years hence, the ratio of their ages will be 5:6. Find their ages.

$<u>Solution -</u>$

Let the present age of Vishal be '4x'.
Then, present age of Hishal = 5x


Eight years hence,

Vishal's age = 4x + 8
Hishal's age = 5x + 8


But, according to the question, their ages will become in ratio 5:6.

Then,

4x+8 : 5x+8 = 5 : 6

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

Cross multiplying, we get,

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

=> 25x + 40 = 24x + 48

=> 25x - 24x = 48 - 40

=> x = 8


So, Vishal's present age
= 4x
= 4 × 8
= 32

And, Hishal's age
= 5x
= 5 × 8
= 40

$<marquee>Hence, Vishal's age = 32 years</marquee>$

$<marquee>And, Hishal's age = 40 years.</marquee>$
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Thank you. ;-)