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If $a : b = 4 : 5$ and $b : c = 2 : 3,$ then what is the value of a:c?

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4: 3

8: 15

8: 9

5: 3

answer is B.

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Detailed Solution

Given,

a : b = 4 : 5

a b = 45

: c = 2 : 3

b c = 23

Then,

⇒ a : c = a c ⇒ a : c = a b × b c

⇒ a : c = 45 × 23

⇒ a : c = 815

⇒ a : c = 8 : 15

Thus,

a : c = 8 : 15

.
Therefore, option 2 is correct.

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