Question

Three boys are aged 10 years ,12years and 16 years. They wants to divide rupees 4560 in the ratio of their age's. How much money would each get?

Answer 1

Answer and step-by-step explanation:

10 years boy get Rs 1200

12 years boy get Rs 1440

16 years boy get Rs 1920

Answer 2

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

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

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

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

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

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