Question

If A : B = 7 : 5 and B : C = 7 : 5, then A : C is ______.

Options

• 25 : 49

• 49 : 25

• 1

• 15 : 14

Answer 1

If A : B = 7 : 5 and B : C = 7 : 5, then A : C is 49 : 25.

Explanation:

Given A : B = 7 : 5 = `7/5`

And B : C = 7 : 5

`\implies B/C = 7/5`

∴ `A/C = A/B xx B/C`

= `7/5 xx 7/5`

= `49/25`

`\implies` A : C = 49 : 25