A total of 280 marbles is to be divided among three boys Karan, Rahim and Rohan respectively in the ratio of 2: 5: 7. Find the difference in the no. of marbles Karan and Rohan get.
Answers
Answered by
1
Answer:
100 marbels is difference
Step-by-step explanation:
explaination
let the ratio to be 2x ,5x, 7x
when they all summ they are equal to 280 ( apq)
2x +5x+7x=280
14x=280
x=280/14
x=20
now karan get 2 *x=2*20=40 marbels
rahim get=5*x=5*20=100 marbels
rohan get =7*x=7*20=140 marbels
now,
rohan - karan
140-40 =100 marbels
Answered by
10
GIVEN :-
- There are total 280 marbles.
- It is divided among Karan , Rahim and Rohan in the ratio 2:5:7 respectively.
TO FIND :-
- Difference in the number of marbles Karan and Rohan get.
SOLUTION :-
Marbles are divided in a ratio . So , it has a common multiple , let 'x'.
Number of marbles ,
- Karan got → 2x
- Rahim got → 5x
- Rohan got → 7x
Sum of all marbles is 280.
→ 2x + 5x + 7x = 280
→ 14x = 280
→ x = 280/14
→ x = 20
Hence ,
- Karan got → 2x = 2(20) = 40
- Rahim got → 5x = 5(20) = 100
- Rohan got → 7x = 7(20) = 140
Therefore , Karan got 40 marbles , Rahim got 100 marbles and Rohan got 140 marbles.
♦ Difference in marbles of Rohan and Karan,
= 140 - 40
= 100
Hence , difference between the number of marbles Karan and Rohan get is 100.
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