Question

Present ages of anu and raj are in the ratio 4:5.Eight years from now the ratio of their will be 5:6.Find their present ages

Answer 1

Heya mate! Here is your answer ✌☺☺



Given, the present ages of Anu and Raj are in the ratio 4 : 5

So, let the present age of Anu be 4x years and age of Raj be 5x years

After 8 years, age of Anu = 4x + 8 and age of Raj = 5x + 8

After 8 years, the ratio of their ages is 5 : 6


According to the question,

$\dfrac{4x + 8}{5x + 8} = \dfrac{5}{6}$

➾ 6(4x + 8) = 5(5x + 8)

➾ 24x + 48 = 25x + 40

➾ 24x - 25x = 40 - 48

➾ $\cancel{-}$x = $\cancel{-}$8

➾ x = 8




Present age of Anu ➾ 4x years

➾ 4 × 8

➾ 32 years


Present age of Raj ➾ 5x

➾ 5 × 8

➾ 40 years

Answer 2

here is your answer OK ☺☺☺☺☺☺☺



As the ratio is given 4:5, the ratio must have been obtained by dividing both the numerator and denominator of the fractional number with the same number. So let that number be x.

It is given in the question above that after 8 years there ages will be in the ratio 5:6.

So the equation will be like this :

4x + 8 5
-------- = -- [ The hyphens are used as a line as there is no provision for writing fractional numbers
5x + 8 6 here ]

After cross multiplying :
6 ( 4x + 8 ) = 5 ( 5x + 8 )
24x + 48 = 25x + 40
48 - 40 = 25x - 24x
8 = x
Therefore, x=8

So, the present ages of Anu and Raj :
Anu's age = 4x = 4 * 8 = 32
Raj's age = 5x = 5 * 8 = 40

$\huge \boxed{thanks \: for \: asking \: this \: question}$