Question

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Answer 1

Answer:

Hey There!

Total marbles=645

Rohit:Raju=4:3

Let x be constant

Rohit=4x

Raju=3x

$ramu \: get \: \frac{2}{5} \: of \: rohit$

Ramu=

$\frac{2}{5} \times 4x \\ \\ = \frac{8x}{5}$

So total marbles=645

$4x + 3x + \frac{8x}{5} = 645 \\ \\ \frac{8x + 20x + 15x}{5} = 645 \\ \\ 43x = 645 \times 5 \\ \\ \therefore \: x = \frac{3225}{43} \\ \\ = \frac{ \cancel{3225} \: ^{75} }{ \cancel{43}} \\ \\ = 75 \\ \\ so \: x = 75$

Ramu's share

$= \frac{8x}{5} = \frac{8}{ \cancel{5}} \times \cancel{75} \: ^{15} \\ \\ = 8 \times 15 = 120 \: marbles$

Rohit's share

$= 4x = 4 \times 75 = 300 \: marbles$

Raju's share

$= 3x = 3 \times 75 = 225 \: marbles$

So now we need to prove whether their sum is 645 or not

120+300+225

420+225

=645 marbles

Hence proved

$\Large\textsf{Hope \: It \: Helped}$