Question

three boys are aged 10 years, 12 years and 16 years. They want to divide Rs. 4560 in the ratio of their ages. How much money did each get?

Answer 1

10 years boy get Rs 1200
12 years boy get Rs 1440
16 years boy get Rs 1920

Answer 2

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

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

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

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

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

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