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180 sweets are divided among friends A, B, C and D in which B and C are brothers also such that sweets divided between A and B are in the ratio 2 : 3, between B and C in the ratio 2 : 5 and between C and D in ratio 3 : 4. What is the number of sweets received by the brothers together?
- a)78
- b)84
- c)92
- d)102
- e)88
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
180 sweets are divided among friends A, B, C and D in which B and C ar...
B) 84
Explanation: A/B = N1/D1 B/C = N2/D2 C/D = N3/D3
A : B : C : D = N1*N2*N3 : D1*N2*N3 : D1*D2*N3 : D1*D2*D3
A/B = 2/3 B/C = 2/5 C/D = 3/4
A : B : C : D
2*2*3 : 3*2*3 : 3*5*3 : 3*5*4
4 : 6 : 15 : 20
B and C together = [(6+15)/(4+6+15+20)] * 180
Explanation: A/B = N1/D1 B/C = N2/D2 C/D = N3/D3
A : B : C : D = N1*N2*N3 : D1*N2*N3 : D1*D2*N3 : D1*D2*D3
A/B = 2/3 B/C = 2/5 C/D = 3/4
A : B : C : D
2*2*3 : 3*2*3 : 3*5*3 : 3*5*4
4 : 6 : 15 : 20
B and C together = [(6+15)/(4+6+15+20)] * 180
Most Upvoted Answer
180 sweets are divided among friends A, B, C and D in which B and C ar...
B) 84
Explanation: A/B = N1/D1 B/C = N2/D2 C/D = N3/D3
A : B : C : D = N1*N2*N3 : D1*N2*N3 : D1*D2*N3 : D1*D2*D3
A/B = 2/3 B/C = 2/5 C/D = 3/4
A : B : C : D
2*2*3 : 3*2*3 : 3*5*3 : 3*5*4
4 : 6 : 15 : 20
B and C together = [(6+15)/(4+6+15+20)] * 180
Explanation: A/B = N1/D1 B/C = N2/D2 C/D = N3/D3
A : B : C : D = N1*N2*N3 : D1*N2*N3 : D1*D2*N3 : D1*D2*D3
A/B = 2/3 B/C = 2/5 C/D = 3/4
A : B : C : D
2*2*3 : 3*2*3 : 3*5*3 : 3*5*4
4 : 6 : 15 : 20
B and C together = [(6+15)/(4+6+15+20)] * 180
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Community Answer
180 sweets are divided among friends A, B, C and D in which B and C ar...
Given, 180 sweets are divided among friends A, B, C, and D in the following ratios:
- A:B = 2:3
- B:C = 2:5
- C:D = 3:4
Let's assume the common ratio of division to be 'x'. Then we can write:
- A gets 2x sweets
- B gets 3x sweets
- C gets 5x sweets
- D gets 7x sweets
We know that the total number of sweets is 180, so:
2x + 3x + 5x + 7x = 180
17x = 180
x = 10.59 (approx)
Now, we can calculate the actual number of sweets received by each friend:
- A gets 2x = 21.18 (approx) sweets
- B gets 3x = 31.77 (approx) sweets
- C gets 5x = 52.95 (approx) sweets
- D gets 7x = 74.13 (approx) sweets
Since B and C are brothers, we need to find the total number of sweets received by them together:
- B and C together get 31.77 + 52.95 = 84.72 (approx) sweets
Rounding off to the nearest integer, we get the answer as 84, which is option B.
- A:B = 2:3
- B:C = 2:5
- C:D = 3:4
Let's assume the common ratio of division to be 'x'. Then we can write:
- A gets 2x sweets
- B gets 3x sweets
- C gets 5x sweets
- D gets 7x sweets
We know that the total number of sweets is 180, so:
2x + 3x + 5x + 7x = 180
17x = 180
x = 10.59 (approx)
Now, we can calculate the actual number of sweets received by each friend:
- A gets 2x = 21.18 (approx) sweets
- B gets 3x = 31.77 (approx) sweets
- C gets 5x = 52.95 (approx) sweets
- D gets 7x = 74.13 (approx) sweets
Since B and C are brothers, we need to find the total number of sweets received by them together:
- B and C together get 31.77 + 52.95 = 84.72 (approx) sweets
Rounding off to the nearest integer, we get the answer as 84, which is option B.
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