Question

The present ages of Jai and Preet are in the ratio 5:2. The difference between their ages is 45 years. Find
the sum of their present ages. Plz explain it step by step

Answer 1

Answer:-

• The sum of their present ages is 105 years.

Step-by-step explanation:

Let the present ages of Jai and Preet be 5x and 2x respectively.

According to the question,

• The difference between their ages is 45 years.

Then,

$\\ :\implies\sf{5x - 2x = 45}\\ \\ :\implies\sf{3x = 45}\\ \\ :\implies\sf{x = \frac{45}{3}}\\ \\ :\implies\underline{\boxed{\frak{x = 15}}}\;\red{\bigstar}$

Therefore,

• The present age of Jai = 5x = 5 × 15 = 75 years
• The present age of Preet =  2x = 2 × 15 = 30 years

To find the sum of their present ages,

• The sum of their present ages = Jai + Preet
• The sum of their present ages = 75 + 30
• The sum of their present ages = 105 years

Hence,

• The sum of their present ages is 105 years respectively.