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14 vote

Three numbers are in the ratio 5:7:12. If the sum of the first and the third is greater than the second by 50.The sum of the three numbers is

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Three numbers are in the ratio 5:7:12. If the sum of the first and the third is greater than the second by 50.The sum of the three numbers is
1). 125
2). 120
3). 95
4). 85

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2 answers

35 vote
Answered by on | Votes 35 |
120

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0 vote
Answered by on | Votes 0 | | Last Updated: 2021-09-18 10:26:38

Solution:

Let us take the three numbers as 'x', 'y' and 'z' .

It is given that, x + z = y + 50 and also

Given ratio is 5 : 7: 12 which gives,

5a = x , 7a = y , 12a = z 

Substituting these in the first given we get,

5a + 12a = 7a + 50

17a - 7a = 50 

10a = 50

a = 5

So, we get x = 25, y = 35, z = 60 

Sum of three numbers = 25 + 35 + 60 =120




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