Question

The boys are aged 10 year 12 year and 16 year .They want to divide ₹ 4560 in the ratio of their ages.How money would each get

Answer 1

Ratio of their ages =5:6:8
The boy of age 10 years will get the amount =4560(5/19)=1200
The boy of age 12 years will get the amount =4560(6/19)=1440
The boy of age 16 year will get the amount =4560(8/19)=1920

Answer 2

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}$

$\underline{ \mathfrak{ \: \: Given, \: \: }} \\ \\ \text{The ages are : \red{10 years, 12 years and 16 years}.} \\ \\ \text{Amount of money to be divided = \red{Rs. 4560}} \\ \\ \underline{ \mathfrak{ \: \:To \: \: find : \to \: }} \\ \\ \: \: \: \: \: \: \text{ Part of each each boys = ?}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{As \: \: the \: \: ages \: \: are \: \: 10 \: years, 12 \: years \: \: and \: \: 16 \:} \\ \sf{ years, \: the \: \: ratio \: \: of \: \: their \: \: ages \: \: is = 10 : 12 : 16 } \\ \\ \sf{ \therefore \: Sum \: \: of \: \: the \: \: ratio = \red{10 + 12 + 16} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{\red{= 38}}$

$\tt{ \therefore \: \: Part \: \: of \: \: the \: \: 1st \: \: boy \: \: whose \: \: age \: \: is \: \: } \\ \: \: \: \: \: \: \: \: \tt{ 10 \: years =\pink{Rs.( \frac{10}{38} \times 4560) }}\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{ = \pink{Rs. \:1200 }}$

$: \leadsto : \tt{ \: \: Part \: \: of \: \: the \: \: 2nd\: \: boy \: \: whose \: \: age \: \: is \: \: } \\ \: \: \: \: \: \: \: \: \tt{ 12 \: years =\pink{Rs.( \frac{12}{38} \times 4560)}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{ =\pink{Rs. \:1440 }}$

$: \leadsto : \tt{ \: \: Part \: \: of \: \: the \: \: 3rd \: \: boy \: \: whose \: \: age \: \: is \: \: } \\ \: \: \: \: \: \: \: \: \tt{ 16 \: years =\pink{Rs.( \frac{16}{38} \times 4560)}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{ =\pink{Rs. \:1920 }}$