Math, asked by Anonymous, 8 months ago

The ratio of present ages of Ajay and Vijay is 4:5. After 8 years the ratio of their ages will be 5:6, then find their present ages.

✨Quality answer needed✨

Answers

Answered by Anonymous

$\sf Present\:Age \:\:\xrightarrow{After\:8\:Years} \:\:Future\:Age\\{\sf Sunita : Anita \qquad\qquad\: Ajay: Vijay} \\{\qquad\sf 4 \::\:5 \qquad \qquad \qquad\qquad 5 : 6}$

Let the present age of Ajay be 4x and Vijay be 5x respectively.

$\rule{130}2$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$\begin{lgathered}:\implies\sf \dfrac{Ajay+8}{Vijay+8}=\dfrac{5}{6}\\\\\\:\implies\sf \dfrac{4x + 8}{5x + 8} = \dfrac{5}{6} \\\\\\:\implies\sf (4x + 8) \times 6= 5 \times (5x + 8)\\\\\\:\implies\sf 24x + 48 = 25x + 40\\\\\\:\implies\sf 48 - 40 = 25x - 24x\\\\\\:\implies\:\underline{\boxed{\red{\bf x = 8\:years}}}\: \orange\bigstar\end{lgathered}$

$\rule{130}2$

☯ $\underline{\boldsymbol{Present\: Age\:of\: Sunita\:\&\:Anita:}}$

$\begin{lgathered}\bullet\:\:\textsf{Ajay = 4x = 4(8) = \textbf{32 years}}\\\bullet\:\:\textsf{Vijay = 5x = 5(8) = \textbf{40 years}}\end{lgathered}$

$\rule{130}2$

Answered by llxdevilgirlxll

$\huge\underline\mathfrak{Answer}$

$<!DOCTYPE html><html><body><svg height="80" width="300"> <g fill="none"> <path stroke="red" d="M5 20 l215 0" /> <path stroke="black" d="M5 40 l215 0" /> <path stroke="blue" d="M5 60 l215 0" /> </g> Sorry, your browser does not support inline SVG.</svg> </body></html>$

At present

Ratio ages of Ajay and

Vijay = 4 : 5

Let Ajay age = 4x years

Vijay age = 5x years

After 8 years :

Ajay age = ( 4x + 8 ) years

Vijay age = ( 5x + 8 ) years

According to the problem

given ,

(4x+8)/(5x+8) = 5/6

Do the cross multiplication

, we get

=> 6(4x+8) = 5(5x+8)

=> 24x+48 = 25x + 40

=> 24x - 25x = 40 - 48

=> -x = -8

=> -x = -8=> x = 8

Therefore ,

At present :

Ajay age = 4x = 4×8 = 32 years

Vijay age = 5x = 5×8 = 40 years

Hope it's helps you

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The ratio of present ages of Ajay and Vijay is 4:5. After 8 years the ratio of their ages will be 5:6, then find their present ages.✨Quality answer needed✨​

Answers

At present

Ratio ages of Ajay and

Vijay = 4 : 5

Let Ajay age = 4x years

Vijay age = 5x years

After 8 years :

Ajay age = ( 4x + 8 ) years

Vijay age = ( 5x + 8 ) years

According to the problem

given ,

(4x+8)/(5x+8) = 5/6

Do the cross multiplication

, we get

=> 6(4x+8) = 5(5x+8)

=> 24x+48 = 25x + 40

=> 24x - 25x = 40 - 48

Therefore ,

At present :

Ajay age = 4x = 4×8 = 32 years

Vijay age = 5x = 5×8 = 40 years

Hope it's helps you

The ratio of present ages of Ajay and Vijay is 4:5. After 8 years the ratio of their ages will be 5:6, then find their present ages.

✨Quality answer needed✨