Question

The age of Appu's mother is nine times that of Appu. After
nine years, it would be three times. What are their ages now?
​

Answer 1

Answer:

Present age of Appu is 3 years and present age of his mother is 27 years.

Step-by-step explanation:

Given :-

• The age of Appu's mother is 9 times that of Appu.
• After 9 years, it would be 3 times.

To find :-

• Their present ages.

Solution :-

Consider,

• Present age of Appu = x years
• Present age of his mother = y years

According to the 1st condition:-

• The age of Appu's mother is 9 times that of Appu.

y = 9x..............(i)

According to the 2nc condition:-

• After 9 years, it would be 3 times.

After 9 years,

• Age of Appu = (x+9) years
• Age of his mother = (y+9) years

y+9 = 3(x+9)

• Put y = 9x from equation (i).

→ 9x +9 = 3x +27

→ 9x - 3x = 27-9

→ 6x = 18

→ x = 18/6

→ x = 3

★ Present age of Appu = 3 years

★ Present age of his mother = 9×3 = 27 years.

Answer 2

Let the age of Appu be x

And Appu's mother be 9x

According to the question,

→ 3(9 + x) = 9x + 9

→ 27 + 3x = 9x + 9

→ 27 - 9 = 9x - 3x

→ 18 = 6x

→ x = 18 ÷ 6

.°. x = 3

_______________....

Value of x

→ 3

________________....

Value of 9x

→ 9x

→ 9 × 3

→ 27

________________....

So,

Age of Appu is 3 years and Appu's mother is 27 years.