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There are four numbers a,b,c and d such that (a + 2b) : (3c – d) = 6 : 5 and c : d = 3 : 4. If (a + b) : c = 7 : 6, what is the value of the ratio (c – b) : a?
  • a)
    3 : 2
  • b)
    3 : 5
  • c)
    7 : 4
  • d)
    1 : 2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
There are four numbers a,b,c and d such that (a + 2b) : (3c – d)...
(a + 2b) : (3c – d) = 6 : 5
5a + 10b = 18c – 6d
(5a + 5b) + 5b = 18c – 6d --------------- (1)
c : d = 3 : 4 or 4c = 3d
So, 6d = 8c --------------- (2)
(a + b) : c = 7 : 6




b : c : d = 5 : 6 : 8
(a + b) : c = 7 : 6
a : b : c : d = 2 : 5 : 6 : 8
(c − b) : a = (6 – 5) : 2 = 1 : 2
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There are four numbers a,b,c and d such that (a + 2b) : (3c – d) = 6 : 5 and c : d = 3 : 4. If (a + b) : c = 7 : 6, what is the value of the ratio (c – b) : a?a)3 : 2b)3 : 5c)7 : 4d)1 : 2Correct answer is option 'D'. Can you explain this answer?
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