Question

The ratio of the percentage of viju to that of aju is 7:2 four years from now, the ratio of the ages of viju to aju will be 5:2 what was viju's age 6years ago ?ya 5:2 what was​

Answer 1

Appropriate Question -

• The ratio of the present age of Viju to that of Aju is 7 : 2. Four years from now, the ratio of the ages of Vijunto Aju will be 5 : 2. What was Viju's age 6 years ago??

Answer -

• Viju's age 6 years ago was 15 years.

To find -

• Viju's age 6 years ago.

Step-by-step explanation -

It is given that the ratio of the present age of Viju to that of Aju is 7 : 2.

So let :-

• The present age of Viju be "7x" years.
• The present age of Aju be "2x" years.

After four years -

• Viju's age will be "7x + 4" years.
• Aju's age will be "2x + 4" years.

Given that -

• Four years from now, the ratio of the age of Viju to that of Aju will be 5 : 2.

----------------------------------------------

Therefore,

$\longrightarrow \: \bf7x + 4 : 2x + 4 = 5 : 2$

$\tt \longrightarrow \: \dfrac{7x + 4}{2x + 4} = \dfrac{5}{2}$

$\tt \longrightarrow \: 5 \: (2x + 4) = 2 \: (7x + 4)$

$\tt \longrightarrow \: 10x + 20 = 14x + 8$

$\tt \longrightarrow \: 10x - 14x = 8 - 20$

$\tt \longrightarrow \: - 4x = - 12$

$\tt \longrightarrow \: x = \dfrac{ - 12}{ - 4}$

$\longrightarrow \underline{ \boxed{ \tt x = 3}}$

----------------------------------------------

Hence, the present ages of Viju and Aju are -

$\sf Viju's \:age = 7x = 7 \times 3 = 21 \: years.$

$\sf Aju's\: age = 2x = 2 \times 3 = 6 \: years.$

And -

• Viju's age 6 years ago was :- 21 - 6 = 15 years.

________________________________