Question

11. Mother wants to divide Rs. 460 between her daughters Shilpa and Payal in the ratio of their
ages. If Shilpa is 12 years old and Payal is 8 years old, find how much Shilpa and Payal
will get.
​

Answer 1

AnswEr :

• Rs. 460 have to Divided in the ratio of Age of Shilpa and Payal.
• Shilpa is 12 years old and, Payal is 8 years old.

• Ratio of Ages of Daughters :

↠ Shilpa : Payal

↠ 12 years : 8 years

• Dividing both term by 4 years.

↠ 3 : 2

Let the Part of Shilpa and, Part of Payal be 3x and 2x respectively.

• According to the Question Now :

⇒ Shilpa + Payal = Rs. 460

• Putting the Parts here

⇒ 3x + 2x = Rs. 460

⇒ 5x = Rs. 460

• Dividing both term by 5

⇒ x = Rs. 92

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• S P E C I F I C ⠀P A R T :

◗ Shilpa = 3x = 3(Rs. 92) = Rs. 276

◗ Payal = 2x = 2(Rs. 92) = Rs. 184

∴ Shilpa will get Rs. 276, whereas Payal will get Rs. 184 of total Rs. 460.

━━━━━━━━━━━━━━━━━━━━━━━━

• V E R I F I C A T I O N :

↠ Shilpa + Payal = Rs. 460

↠ 3x + 2x = Rs. 460

↠ 3(Rs. 92) + 2(Rs. 92) = Rs. 460

↠ Rs. (276 + 184) = Rs. 460

↠ Rs. 460 = Rs. 460 ⠀⠀Hence, Verified!

#answerwithquality #BAL

Answer 2

$\huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

If mother wants to divide Rs. 460 between her daughters Shilpa and Payal in ratio of their ages. Shilpa is 12 years old and Payal is of 8 years, So she have to Divide their ages for the required ratios :

$\Large \longrightarrow {\sf{Ratios \: = \: \frac{\cancel{12}}{\cancel{8}}}}$

$\Large \longrightarrow {\sf{Ratios \: = \: \frac{3}{2}}}$

$\LARGE \implies {\underline{\boxed{\sf{Ratios \: = \: 3:2}}}}$

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So, take Shilpa's age as 3x and age of Payal be 2x

If Money to be distributed is Rs 460

So,

⇒3x + 2x = 460

⇒5x = 460

⇒x = 460/5

⇒x = 92

So, The money of both the daughters is :

★ Shilpa's age = 3x = 3(92) = Rs 276

★ Payal's age = 2x = 2(92) = Rs 184

___________________________

___________________________

Proof :

Total Money = Shilpa's Money + Payal's Money

Put Values

⇒276 + 184 = 460

⇒460 = 460

Rs 460 = Rs 460

__________________________

#answerwithquality

#BAL