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.

Answer 1

Answer:

Step-by-step explanation:

Let their ages be 5x and 2x

5x-2x=45

3x=45

x=15

so sum of their ages = 5x+2x=7x=7(15)= 105

Answer 2

Answer :

• 35 years.

Given :

• The ratio of present ages of Jai and Preet = 5:2
• Difference between their ages = 45 years

To find :

• the sum of their present ages.

Solution :

⇒ Let's find their present age. Let the ages Jai and Preet be 5x and 2x.

$\longrightarrow \sf 5x - 2x = 45$

$\longrightarrow \sf 3x = 45$

$\longrightarrow \sf x = \dfrac{45}{3}$

$\longrightarrow \sf x = \cancel {\dfrac{45}{3} }$

$\longrightarrow \sf x = 5$

$\longmapsto \sf Age \: of \: Jai = 5x$

$\sf = 5 \times 5$

$\sf = 25 \: years$

$\sf \longmapsto Age \: of \: Preet = 2x$

$\sf = 2 \times 5$

$\sf = 10 \: years$

⇒ Now, let's find the sum.

Sum of their present ages = Age of Jai + Age of Preet

= 25 + 10

= 35 years

• Therefore, the sum of their present ages is 35 years.