Question

A = B/2 = C/5 a:b:c=?
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Answer 1

`\large\boxed{A:B:C=(1)/(10A)}`

Explanation:

`A=(B)/(2)=(C)/(5)\\\\A=(B)/(2)\qquad\text{multiply both sides by 2}\\\\2A=B\to\boxed{B=2A}\\\\A=(C)/(5)\qquad\text{multiply both sides by 5}\\\\5A=C\to C=5A\\\\A:B:C=A:2A:5A=1:2:5A=(1)/(2):5A=(1)/(2)\cdot(1)/(5A)=(1)/(10A)`