(b) If 5a = 4b and 8b = 3c, find a: b: c.
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Step-by-step explanation:
Taking the LCM of 33 , 22 & 55 , we get 3030 .
Therefore,
30A10=30B15=30C630A10=30B15=30C6
Dividing all by 3030 , we get,
A10=B15=C6=kA10=B15=C6=k (say)
A10A10 =k=k
=>A=10k=>A=10k
B15B15 =k=k
=>B=15k=>B=15k
C6C6 =k=k
=>C=6k=>C=6k
Now,
A:B:C=10k:15k:6kA:B:C=10k:15k:6k
Removing kk ,
A:B:C=10:15:6A:B:C=10:15:6
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