Question

Ritu wants to divide Rs 300 between his two sons Amit and Nitin in the ratio of their ages. If the age of Amit is 12

years and that of Nitin is 8 years. Find the share of each.​

Answer 1

Given:-

• Ritu wants to divide Rs 300 between his two sons.
• Amit and Nitin in the ratio of their ages. If the age of Amit is 12 years and that of Nitin is 8 years.

To Find:-

• Find the share of Amit and Nithin.

Solution:-

Let the age of Amit be " 12x "

And Nithin age be " 8x "

$\tt\implies \: 12x + 8x = 300$

$\tt\implies \: 20x = 300$

$\tt\implies \: x = \dfrac{300}{20}$

$\tt\implies \: x = 15$

Hence,

Amit age is

$\tt\implies \: 12x$

$\tt\implies \: 12(15)$

$\tt\implies \: 180$

Nithin age is

$\tt\implies \: 8x$

$\tt\implies \: 8(15)$

$\tt\implies \: 120$

Verification:-

$\tt\implies \: 12x + 8x = 300$

$\tt\implies \: 12 ( 15 ) + 8 ( 15 ) = 300$

$\tt\implies \: 180 + 120 = 300$

$\tt\implies \: 300 = 300$

Answer 2

Step-by-step explanation:

$\frak Given = \begin{cases} \sf{Ritu\ wants\ to\ divide\ Rs.\ 300\ between\ his\ two\ sons.} \\ \sf{Amit\ and\ Nitin\ of\ their\ ages.} \\ \sf{If\ the\ age\ of\ Amit\ is\ 12\ years\ and\ that\ of\ nitin\ is\ 8\ years.} \end{cases}$

To find:- We have to find the share of Amit and nitin ?

______________________

● Let the Amit age be 12x.

● And the Nitin age be 8x.

$\frak{\underline{\underline{\dag By\ substituting\ the\ values:-}}}$

$\sf : \implies {12x\ +\ 8x\ =\ 300} \\ \\ \sf : \implies {20x\ =\ 300} \\ \\ \sf : \implies {x\ =\ \dfrac{300}{20}} \\ \\ \sf : \implies {\purple{\underline{\fbox{x\ =\ 15.}}}}\bigstar$

______________________

$\frak{\underline{\underline{\dag Now\ we\ will\ find\ the\ share\ of\ each:-}}}$

$\sf : \implies {\underline{Amit's\ age:-}} \\ \\ \sf : \implies {12x} \\ \\ \sf : \implies {12x\ =\ 12\ \times\ 15} \\ \\ \sf : \implies {\purple{\underline{\fbox{Amit's\ age\ =\ 180.}}}}\bigstar$

$\sf : \implies {\underline{Nitin's\ age:-}} \\ \\ \sf : \implies {8x} \\ \\ \sf : \implies {8x\ =\ 8\ \times\ 15} \\ \\ \sf : \implies {\purple{\underline{\fbox{Nitin's\ age\ =\ 120.}}}}\bigstar$

_____________________

$\frak{\underline{\underline{\dag Now,\ we\ will\ verify\ the\ above\ result:-}}}$

$\sf : \implies {12x\ +\ 8x\ =\ 300} \\ \\ \sf : \implies {12(15)\ +\ 8(15)\ =\ 300} \\ \\ \sf : \implies {180\ +\ 120\ =\ 300} \\ \\ \sf : \implies {\purple{\underline{\fbox{300\ =\ 300.}}}}\bigstar$