Question

The ratio of present ages of rehana and her mother is 2:7.After 2 years, the ratio of their ages will be 1:3 .What is rehana present age
(Explain in detail )​

Answer 1

Given:

• Ratio of present age of Rehana and her mother is 2 : 7.

• After 2 years, ratio of their age will be 1 : 3.

To Find:

• Rehana's present age

Solution:

Let the ratio of present age be "x".

• Rehana's age = 2x
• Mother age = 7x

After 2 years,

• Rehana's age = 2x + 2
• Mother's age = 7x + 2

After two years,

• Ratio = 1 : 3

Then,

→ 2x + 2 : 7x + 2 = 1 : 3

→ 2x + 2/7x + 2 × 1/3

→ 3(2x + 2) = 7x + 2

→ 6x + 6 = 7x + 2

→ 7x + 2 - 6x - 6 = 0

→ x - 4 = 0

→ x = 4

Hence,

• Rehana's present age = 2(4) = 8
• Rehana's present age is 8 years.

Answer 2

Answer:

QUESTION

The ratio of present ages of rehana and her mother is 2:7.After 2 years, the ratio of their ages will be 1:3 .What is rehana present age

(Explain in detail ).

ANSWER

The age of rehana is = (2x + 2)

The age of Rehana's mother = (7x + 2)

The ratio will be 1 : 3.

$\frac{2x \: + \: 2}{7x \: + \: 2} = \frac{1}{3}$

7x + 2 = 3

6x + 6 = 7x + 2

7x - 6x = 6 - 2

x = 4

2 x 4 = 8

so, the age of Rehana is 8 years.