Question

If a:b = 2:3, b:c = 4:5, c:d = 6:7 then a:d is ___________ : (a) 24 : 35 (b) 8 : 15 (c) 16 : 35 (d) 7 : 15

Answer 1

c) 16:35 is the answer.

Explanation:

Ratios:

A:B           B:C             C:D

2:3            4:5              6:7

B is common so let's equate it first. Multiply A:B from 4 and B:C from 3. You'll get.:

A:B           B:C            C:D

8:12          12:15         6:7

Now B is equal i.e 12. Now You have to equate C. 30 is the LCM for C. Hence multiply A:B and B:C from 2 and C:D from 5. You'll get:

A:B:C:D

16:24:30:35

Therefore ratio of A:D will be 16:35