Question

Raja and Dolly together have 55 rupees. Find the difference of their money if
Raja's 1 /4th share is equal to Dolly's 1/6th share.






please do it I will give you brainlist.
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Answer 1

Answer:

Raja: 22

Dolly: 33

Step-by-step explanation:

let raja's money = x

let dollars money = 55-x

x/4 = 1/6 × (55-x)

6x/4 = 55-x

3x/2 = 55-x

3x/2+x = 55

5x/2 = 55

5x = 110

x = 22

55-x = 55-22 = 33

Answer 2

$\large{\underline{\sf{\pink{Required\:Answer:}}}}$

• Raja's share = Rs 22

• Dolly's share = Rs 33

$\large{\underbrace{\sf{\red{Solution:}}}}$

• Total amount = Rs 55

• Let Raja share be Rs x.

• Let Dolly share be Rs y.

So,

➡ ⠀ $\sf{x+y=55}$        ⠀⠀⠀⠀  (1)

According to the question :-

$\blue{\implies \:\:}$ $\sf{x/4=y/6=k}$

➣ x = 4k

➣ y = 6k

• Substituting values....in equation (1) we get,

$\purple{\implies \:\:}$ $\sf{4k+6k=55}$

$\purple{\implies \:\:}$ $\sf{10k=55}$

$\purple{\implies \:\:}$ $\sf{k=\dfrac{55}{10} }$

$\purple{\implies \:\:}$ $\sf{k=5.5 }$

Therefore,

${\star\:}$  Ajay's share = x = 4k

$\orange{\implies \:\:}$ $\sf{x=4 \times 5.5 }$

$\orange{\implies \:\:}$ $\sf{x=Rs \:22 }$

${\star\:}$  Dolly's share = y = 6k

$\green{\implies \:\:}$ $\sf{y=6 \times 5.5 }$

$\green{\implies \:\:}$ $\sf{y=Rs\:33 }$

To check :-

→   $\bf{ x+y=55}$

→   $\bf{ 33+22=55}$

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