1

Problem

If a: b is 3: 4 and b: c is 2: 5:

Find a: b: c.

2

Step

Given that

a : b = 3 : 4 & b : c = 2 : 5

3

Step

Ratio 1

Ratio 2

3 : 4

2 : 5

4

Step

The common element in both ratios is

b

5

Step

Multiply the second ratio by 2 and the second ratio by 4:

\$(3 \times 2) : (4 \times 2) = 6 : 8\$

\$(2 \times 4) : (5 \times 4) = 8 : 20\$

6

Step

Combined ratio of a: b: c is:

6 :8 : 20

7

Step

Divide all terms by 2 to simplify the ratio

3:04:10

8

Solution

So, the values of a:b:c = 3:4:10.

9

Sumup

Please summarize steps

Choices

10

Choice-A

Incorrect, as it doesn’t follow the given ratios

Wrong 3:02:05

11

Choice-B

Incorrect, as it doesn’t follow the given ratios

Wrong 3:06:05

12

Choice-C

The given individual ratios are correctly combined in the ratio

Correct 3:04:10

13

Choice-D

Incorrect, as it doesn’t follow the given ratios

Wrong 2:03:04

14

Answer

Option

C

15

Sumup

Please summarize choices