Question

A certain amount of money is shared in the ratio 2:3:9. If the difference between the first and second shares is $40, then the amount of money shared is

Answer 1

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Given:

Certain amount of money is shared in ratio 2:3:9

Difference between first and second share is $40

To find:

Amount of money shared = ?

Solution:

Let,

First share be 2x

Second share be 3x

Third share be 9x

3x - 2x = 40

x = 40

So,

First share = 2x = 2 × 40 = $ 80

Second share = 3x = 3 × 40 = $ 120

Third share = 9x = 9 × 40 = $ 360

Amount of money shared = Sum of three shares

Amount of money shared = 2x + 3x + 9x

Amount of money shared = 80 + 120 + 360

Amount of money shared = $ 560

Answer:

Therefore, amount of money shared is

$ 560

Verification:

3x - 2x = 40

120 - 80 = 40

40 = 40

LHS = RHS

Hence verified

Knowledge booster:

✭ While solving such ratios, add a variable x, y etc to it accordingly to solve

✭ Example: If Rs 10 is divided in 2:3. Find the two numbers in Rupees

--> Let first number be 2x

Second number be 3x

2x + 3x = 10

5x = 10

x = 10/5

x = 2

First number = 2x = 2 × 2 = Rs 4

Second number = 3x = 3 × 2 = Rs 6

✭ Try solving more such questions to get good hold on it