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Question

State TRUE or FALSE
If A:C=5:8 and B:C=5:6 then A:B:C is 15:20:24

A
True
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B
False
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Solution

The correct option is A True

In the given ratios "C" is the common term, and the values of C in
both ratios are not equal.

To make them equal, we need to find equivalent ratios of both the ratios such that the values of C are equal.

For this, we need to first find the
L.C.M. of values corresponding to C i.e., 8 and 6.
L.C.M. of 8 and 6=24
Therefore, an equivalent ratio of A:Csuch that C=24, is A:C=5:8=5×3:8×3=15:24


And an equivalent ratio of B:C such that C=24, is B:C=5:6=5×4:6×4=20:24


Now the value of C in 15:24 and in 20:24
Therefore, A:B:C=15:20:24


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