Question

The ages of Sonal and Manoj are in the ratio 7:5. Ten years hence, the ratio of their ages
will be 9 : 7. Find their present ages.
​

Answer 1

AnswEr :

Present age of Sonal & Manoj are 35 & 25 years respectively.

Here, we're given that, Ages of Sonal & Manoj are in the ratio 7 : 5. Also, ten years later there ages will be 9 : 7. And we've to find out the Present ages of Sonal & Manoj.

Assumptions :

Let's assume that the,

• Present age of Sonal = 7x

• Present age of Manoj = 5x

After 10 years their age's would be,

• Age of Sonal = 7x + 10

• Age of Manoj = 5x + 10

» Given ratio = 9 : 7

According to the question,

$\longrightarrow$ 7x+10 : 5x+10 = 9:7

$\longrightarrow$ 7x+10/5x+10 = 9/7

$\longrightarrow$ 7 × (7x+10) = 9 × (5x+10)

$\longrightarrow$ 49x + 70 = 45x + 90

$\longrightarrow$ 49x - 45x = 90 - 70

$\longrightarrow$ 4x = 20

$\longrightarrow$ x = 20/4

$\longrightarrow$ x = 5

As per our assumptions,

• Present age of Sonal = 7x = 7 × 5 = 35 years.

• Present age of Manoj = 5x = 5 × 5 = 25 years.

Answer 2

Answer:

$\huge\tt{\boxed{\underbrace{\overbrace{\bold\color{blue}{☛AnSwEr☚}}}}}$

• Present age of Sonal & Manoj are 35 & 25 years respectively.

Here, we're given that, Ages of Sonal & Manoj are in the ratio 7 : 5. Also, ten years later there ages will be 9 : 7. And we've to find out the Present ages of Sonal & Manoj.

Assumptions :

Let's assume that the,

• Present age of Sonal = 7x
• Present age of Manoj = 5x

After 10 years their age's would be,

• Age of Sonal = 7x + 10
• Age of Manoj = 5x + 10

» Given ratio = 9 : 7

According to the question,

⟶ 7x+10 : 5x+10 = 9:7

⟶ 7x+10/5x+10 = 9/7

⟶ 7 × (7x+10) = 9 × (5x+10)

⟶ 49x + 70 = 45x + 90

⟶ 49x - 45x = 90 - 70

⟶ 4x = 20

$\longrightarrow$ x = 20/4

⟶ x = 5

As per our assumptions,

• Present age of Sonal = 7x = 7 × 5 = 35 years.
• Present age of Manoj = 5x = 5 × 5 = 25 years.