Question

Three boys are aged 10years 12 years and 16 years they want go divided ₹4560 in the ratio of their ages how much money would each get

Answer 1

Ratio of ages= 10:12:16 = 5:6:8
4560 is divided upon ratio of their ages
19=== 4560
1=== 4560/19 = 240
5== 240*5 = 1200
6== 240*6 = 1440
8== 240*8= 1920
Hence, boy aged 10 years gets Rs.1200
Boy aged 12 years gets Rs.1440
Boy aged 16 years gets Rs.1920
Hope it helps.

Answer 2

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

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

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

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

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

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