Question

2. A man divides Rs. 10290 between his son and his daughter in the ratio of 11:10. How much did the son get.​

Answer 1

Given :

• Total money = Rs 10290
• The share of son and daughter in the ratio = 11:10

To Find :

• The share of son.

Solution :-

Let the share of son and daughter be Rs 11x and Rs I0x.

According to question,

$:\implies{ \sf{Total \: money = Rs \: 10290}}$

$:\implies{ \sf{11x + 10x = 10290}}$

$:\implies{ \sf{21x = 10290}}$

$:\implies{ \sf{x = \cancel{\dfrac{10290}{21}}}}$

$:\implies{\boxed{\tt{x = 490}}}$

$\therefore{ \underline{ \pink{ \sf{ The \: share \: of \: son \:is \: (11 \times 490) = Rs \: 5390. }}}}$

Verification :

We have ,

• Total Money = Rs 10290
• The share of son = Rs 5390
• The share of daughter = (10×490) = Rs 4900

$:\implies{ \sf{Total \: money = Rs \: 10290}}$

$:\implies{ \sf{Rs\:(5390+4900 ) = Rs\:10290}}$

$:\implies{ \sf{Rs\:10290 = Rs\:10290}}$

$:\implies {\boxed{\tt{LHS = RHS}}}$

$\therefore{ \underline{\bf{Verified.}}}$

Answer 2

$\textbf{\underline{\underline{Answer :-}}} </p><p></p><p> </p><p>$

Money Given to son is Rs.315 and money Given to daughter is Rs.210

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

Total money = Rs.525

Ratio = 2 : 3

To find :

Money Suhali's son and daughter will get.

Solution :

Consider money given to son as 2x

Consider money given to daughter as 3x

Equation =

$\large{\boxed{\sf{\star \: 2x + 3x = 525}}} </p><p>$

$\sf{\implies}5x = 525$

$\sf{\implies}x = \dfrac{525}{5}$

$\sf{\implies}x = 105$

$\boxed{\sf{x = 105}} </p><p>$

Value of 3x

$\sf{\implies}105 \times 3</p><p>$

$\sf{\implies} 315$

$</p><p>\boxed{\sf{Money \: given \: to \: daughter = Rs.315}}$

Value of 2x

$\sf{\implies}5 \times 105</p><p>$

$\sf{\implies}210$

$\boxed{\sf{Money \: given \: to \: son = Rs.210}} </p><p>$

∴ Money Given to son is Rs.315 and money Given to daughter is Rs.210

$\textbf{\underline{\underline{Verification :-}}} </p><p>$

Check if the numbers add up and make 525

$\sf{\implies}315 + 210 = 525</p><p>$

$\sf{\implies}525 = 525$

∴ Money Given to son is Rs.315 and money Given to daughter is Rs.210

☃️Hence we are Done !!