Question

The age of Asha and Nirmal are on the ratio 5:6.Five years from now their age will be 6:7.Find their present ages.

Answer 1

Answer

• Their ages are 5 years & 6 years

Explanation

Given

• Ratio of the ages of Asha and Nirmal are 5:6
• After 5 yead their ages will be of the ratio 6:7

To Find

• Their present ages

Solution

So their present ages be,

• Asha = 5x
• Nirmal = 6x

After 5 years,

• Asha = 5x+5
• Nirmal = 6x+5

→ 5x+5/6x+5 = 6/7

→ 7(5x+5) = 6(6x+5)

→ 35x+35 = 36x+36

→ 35x-36x = 36-35

→ -x = 1

→ x = 1

Their present ages will be

• Asha = 5x = 5×1 = 5
• Nirmal = 6x = 6×1 = 6

Answer 2

Answer:

$\huge \tt \: given$

The age of Asha and Nirmal are on the ratio 5:6.Five years from now their age will be 6:7.Find their present ages.

$\huge \tt \: to \: find$

Their present age

$\huge \tt \: solution$

Present ages

= Asha = 5x

Nirmal = 6x

After 5 years

Asha = 5x + 5

Nirmal = 6x + 5

$5x + \frac{5}{6} + 5 = \frac {6}{7}$

$7(5x + 5) = 6(6x + 5)$

$35x + 35 = 36x + 36$

$35x - 36x = 36 - 35$

$- x = 1$

$x = 1$

$\therefore \: present \: ages \: = \\ asha \: = 5x = 5 \times 1 = 5 \\ nirmal \: = 6x = 6 \times 1 = 6$