Question

Present ages of nirmal and shyam are in the ratio of 5:4 respectively. three years hence, the ratio of their ages will become 11:9 respectively. what is shyam's present age in years

Answer 1

Hiii!!!

Here's Ur answer...

Given the ratio of Nirmal and shyam's age is 5 : 4

Let the age of Nirmal and Shyam be 5x and 4x.

ATQ, after 3 years, the ratio of their age will be 11 : 9

Therefore 5x+3/4x+3 = 11/9

==> 9(5x+3) = 11(4x+3)

==> 45x + 27 = 44x + 33

==> 45x - 44x = 33 - 27

==> x = 6

Hence, present age of Nirmal = 5x

= 5 × 6

= 30 years

Present age of Shyam = 4x

= 4 × 6

= 24 years

Hope this helps..!!

Answer 2

Answer:

Let the present age of Nirmal be 5x and Shyam be 4x respectively.

$\rule{130}2$

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

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

$\rule{130}2$

☯ $\underline{\boldsymbol{Present\: Age\:of\: Nirmal\:\&\: Shyam:}}$

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

$\rule{130}2$