Question

the age of a is five years more than that of b .5 years ago, the ratio of their ages was 3:2 find the present ages

Answer 1

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

⭐ Let the age of b be x years.
⭐ Then, age of a = (x+5) years.

5 years ago,
⭐ Age of b = (x-5) years.
⭐ Age of a = (x+5-5) years = x years.

⭐ Also, the ratio is given 3:2 which means 3/2.

So, according to the problem, we get :

$\frac{x}{x - 5} = \frac{3}{2}$

$=> 3x - 15 = 2x$
$=> x = 15 \: \: years$
⭐ So, Present age of b = x years = 15 years.
⭐ Present age of a = (x+5) years = (15+5) years = 20 years

✨✨✨✨ ALWAYS BE BRAINLY ✨✨✨✨

Answer 2

Answer:

Let the age of b be x years.

Then, age of a = (x+5) years.

5 years ago,

Age of b = (x-5) years.

Age of a = (x+5-5) years = x years.

Also, the ratio is given 3:2 which means 3/2.

So, according to the problem, we get :

\frac{x}{x - 5} = \frac{3}{2}x−5x=23

=> 3x - 15 = 2x=>3x−15=2x

=> x = 15 \: \: years=>x=15years

So, Present age of b = x years = 15 years.

Present age of a = (x+5) years = (15+5) years = 20 years