Question

total ages of jame, vihaan, mahesh is 75 years. Five years ago ratio is 3:4:5. what is the present age of mahesh?​

Answer 1

Given :

• The sum total of the ages of Jame, Vihaan and Mahesh = 75 years

• The ratio of their ages = 3 : 4 : 5

To find :

• The present age of Mahesh

Solution :

Let,

• The present age of Jame = 3x years
• The present age of Vihaan = 4x years
• The present age of Mahesh = 5x years

According to the question,

→ Age of Jame + Age of Vihaan + Age of Mahesh = 75 years

→ 3x + 4x + 5x = 75

→ 12x = 75

→ x = 75 ÷ 12

→ x = 6.25 years

→ The value of x = 6.25 years

Substitute the value of x in the age of Mahesh :-

→ The present age of Mahesh = 5x

→ The present age of Mahesh = 5 × 6.25

→ The present age of Mahesh = 5 × 625/100

→ The present age of Mahesh = 31.25

→ On rounding off, we get :-

→ The present age of Mahesh = 31 years

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Let's verify :

To verify the age of Mahesh add the ages of Jame, Vihaan and Mahesh if they sum upto 75 years as mentioned in the question then the value of age of Mahesh is correct.

→ 3x + 4x + 5x

→ 3(6.25) + 4(6.25) + 5(6.25)

→ 18.75 + 25 + 31.25

→ 75

The sum total of their ages = 75 years

Hence, verified!