Question

7. At present, Thenmozhi's age is 5 years more than that of Murali's age. Five years ago, the
ratio of Thenmozhi's age to Murali's age was 3:2. Find their present ages.​

Answer 1

✬ Murali's Age = 15 Years ✬

✬ Mozhi's Age = 20 Years ✬

Step-by-step explanation:

Given:

• Mozhi's age is 5 years more than that of Murali's age.
• Five years ago ratio of their ages was 3:2.

To Find:

• What are their present ages ?

Solution: Let present age of Murali be x years. Therefore,

➟ Present age of Mozhi = (x + 5) years

Five years ago their ages were

• Murali's age = (x – 5) years

• Mozhi's age = (x + 5 – 5) years

• Ratio of their ages = 3 : 2

$\implies{\rm }$ x/x – 5 = 3/2

$\implies{\rm }$ 2 × x = 3(x – 5)

$\implies{\rm }$ 2x = 3x – 15

$\implies{\rm }$ 15 = 3x – 2x

$\implies{\rm }$ 15 = x

So , present age of Murali is 15 years and

➮ Present age of Mozhi is 15 + 5 years

➮ 20 years.

Answer 2

Answer:

Given :-

At present, Thenmozhi's age is 5 years more than that of Murali's age. Five years ago, the

ratio of Thenmozhi's age to Murali's age was 3:2

To Find :-

Their present ages.

Solution :-

Let the age of Murali be y

And Then Mozhi age will be y + 5

According to the question

y/y - 5 = 3/2

2(y) = 3(y + 5)

2y = 3y + 15

3y - 2y = 15

y = 15

Now,

Mozhi's age = 15 + 5 = 20 years

Murali age = 15 years