Find a:b:c when (i) a:b = 4:7 and b:c = 5:3 and (ii) a:b = 7×2+1 : 5 and b:c = 4×1+1
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(i) a:b & b:c
LCM of both b terms = 5×7 = 35
35÷7= 5 and 35÷5= 7
Multiply 5 to a & b
a:b= 4:7
b:c =5:3
4×5 : 7×5
= 20 : 35
Multiply 7 to b & c
b:c = 5:3
5×7 : 3×7
= 35 : 21
Therefore :
b is equal in both the ratios,
So, a:b:c = 20 : 35 : 21
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