Question

three friends divide rs 624 among themselves in the ratio 1/2:1/3:1/4.the share of the third friend is

Answer 1

in this problem

1 1 1
-- : -- : --
2 3 4

we solve by lcm of above proportion

2 , 3 , 4 Lcm = 12

12/2 = 6

12/3 = 4

12/4 = 3

6 : 4 : 3 in this proportion mony will be distributed

6 + 4 + 3 = 13 unit

total amount = 624₹

624 = 13unit

624/13 = 48₹ = one unit

third friends share. = 3X

3x = 3 × 48 = 144₹

Answer 2

$\textbf {Hey there, here is the solution.}$

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STEP 1: State the ratio of the 3 friends:

$\text {Friend 1:Friend 2 : Friend 3 } = \dfrac{1}{2} : \dfrac{1}{3} : \dfrac{1}{4}$

.

STEP 2: Convert the ratio to whole numbers:

$\text {Friend 1 : Friend 2 : Friend 3 } = \dfrac{1}{2} : \dfrac{1}{3} : \dfrac{1}{4}$

Convert all the denominators to be the same:

$\text {Friend 1 : Friend 2 : Friend 3 } = \dfrac{1 \times 6}{2 \times 6} : \dfrac{1 \times 4}{3 \times 4} : \dfrac{1 \times 3}{4 \times 3}$

$\text {Friend 1 : Friend 2 : Friend 3 } = \dfrac{6}{12} : \dfrac{4}{12} : \dfrac{3}{12}$

Multiply 12 through:

$\text {Friend 1: Friend 2 : Friend 3 } =6 : 4: 3$

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STEP 3: Share the Rs 624 according to the ratio:

Let the constant ratio be x

6x + 4x + 3x = Rs 624

13x = 624

x = Rs 48

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STEP 4: Find the third friend's share:

Third Friend = 3x = 3(48) = Rs 144

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Answer: The third friend will get Rs 144.

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⭐$\textbf {Cheers}$⭐