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 their present ages.​

Answer 1

CorrecT QuestioN :

The age of A is five years more than the age of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

ExplanatioN :

Given :-

• The age of A is five years more than the age of B.
• 5 years ago, the ratio of their ages was 3:2.

To find :-

• Find their present ages.

Solution :-

Let the present age of B be x years.

✪The age of A is five years more than the age of B ✪

Present age of A = (x+5) years.

★ 5 years ago,

• Age of A = (x+5-5) = x years

• Age of B = (x-5) years

✪5 years ago, the ratio of their ages was 3:2 ✪

According to the question,

$\sf{x\::\:(x-5)=3:2}$

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

$\implies\sf{3x-15=2x}$

$\implies\sf{3x-2x=15}$

$\implies\sf{x=15}$

✫Present age of B= 15 years.

✫Present age of A=(15+5)=20 years

Therefore the present age of A is 20 years and the present age of B is 15 years.

_________________________

Answer 2

_________________________________

$\huge \tt {Given:}$

Age of A is five years more than that of B.

5 years ago, the ages were in the ratio of 2:3

__________________________________

$\huge \tt {To~Find:}$

Their present ages

__________________________________

$\huge \tt {Solution:}$

Let the present age of B be X

Then, Present age of A would be (x+5)

Ages 5 years ago,

✡️B = (x-5)

✡️A= (x+5-5)

_______________________________

Now, according to the question=>

↪️️x : (x-5) = 3:2

↪️️x/x-5 = 3/2

↪️3x -15 = 2x

↪️️3x -2x = 15

↪️x = 15

❇️Present age of B = 15 years

❇Present age of A = (15+5) = 20 years

_________________________________