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
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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