If a : b = 3 : 5 and b : c = 4 : 7, find a : b : c.
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Answer:
a:b:c:= 12:20:35.(ans)
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We make b, the same in both the ratios.
L.C.M. of 5 and 4 = 20.
So, we make b equal to 20 in each case.
Now, a : b = 3 : 5 = 3/5 = 3 × 4/5 × 4 = 12/20 = 12 : 20.
b : c = 4 : 7 = 4 × 5/7 × 5 = 20 : 35.
Therefore, a : b : c = 12 : 20 : 35.
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