Question

present age of sameer and anad are in the ratio of 5:4 respectively three years hence the ratio of their ages will become 11:9 respectively. what is anand present age in year.​

Answer 1

Answer:

present age of Anand is 24 years

Step-by-step explanation:

let the present ages of Sameer and Anand be 4x and 5x respectively

three years from now

5x plus 3 upon 4x plus 3 will be equal to 11 upon 9

9(5x plus 3) will be equal to 11(4x plus 3)

45x plus 27 will be equal to 44x plus 33

45x minus 44x will be equal to 33 minus 27

then the value of x will be 6

As the age of Anand is 4x , the numerical value will be 24 years

Answer 2

Answer:

Let the present age of Sameer be 5x and Anand be 4x respectively.

$\rule{130}2$

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

$:\implies\sf \dfrac{Sameer+3}{Anand+3}=\dfrac{11}{9}\\\\\\:\implies\sf \dfrac{5x + 3}{4x + 3} = \dfrac{11}{9} \\\\\\:\implies\sf (5x + 3) \times 9= 11 \times (4x + 3)\\\\\\:\implies\sf 45x + 27 = 44x + 33\\\\\\:\implies\sf 45x - 44x = 33 - 27\\\\\\:\implies\:\underline{\boxed{\red{\bf x = 6\:years}}}\: \orange\bigstar$

$\rule{130}2$

☯ $\underline{\boldsymbol{Present\: Age\:of\: Sameer\:\&\: Anand:}}$

$\bullet\:\:\textsf{Sameer = 5x = 5(6) = \textbf{30 years}}\\\bullet\:\:\textsf{Anand = 4x = 4(6) = \textbf{24 years}}$

$\rule{130}2$