Math, asked by chinkoo28, 1 year ago

present age of anu and Raj are in the ratio 4:5 eight year from now the ratio of their age will be 5:6

Answers

Answered by Ankit02
126

Your Answer ↓↓↓↓↓

Let the Present ages of Anu and Raj be 4x and 5x .

Eight Years Hence ,

Their ages will be 4x + 8 and 5x +8 .

A.T.Q.

 \frac{4x+8}{5x + 8 } =\frac{5}{6}

24x + 48 = 25x + 40 .

- x = -8

x = 8 years .

Hence ,

Present age of Anu = 32 years .

Present age of Raj = 40 years .

^_^ ^_^

# Be Brainly

Answered by Anonymous
72
\large {\red {\bold {Bonjour!}}}

According to the question, present age of Any and Raj are in the ratio of 4:5

Let the present age of Any is = 4x
and present age of Raj is = 5x

So, there age after 8 years will be;
Any = 4x + 8
Raj = 5x + 8

The ratio of their age after 8 years is 5:6

So,
 = > \frac{4x + 8}{5x + 8} = \frac{5}{6} \\ \\ = > 6(4x + 8) = 5(5x + 8) \\ \\ = > 24x + 48 = 25x + 40 \\ \\ = > 25x - 24x = 48 - 40 \\ \\ = > x = 8

Therefore,

\large {\Yellow {\mathbf {Present \: age \: of \: Any \: is = 4x \\ \\ = 4 \times 8 \\ \\ = 36 \: years \\ \\ Present \: age \: of \: Raj \: is = 5x \\ \\ = 5 \times 8 \\ \\= 40 \: years}}}

\large {\green {\bold {Hope \: it \: helps...:)}}}

Ankit02: Nice ^_^
akshata816: you have made a small mistake 4x8=32 not 36 hence the present age will be 32&40
Similar questions