1

Problem

If a : b = 2 : 3 and b : c = 2 : 4 then a: b : c?

2

Step

Given that

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

3

Step

Ratio 1

Ratio 2

2 : 3

2 : 4

4

Step

The common element in both ratios is:

b

5

Step

Multiply the second ratio by 2 and the second ratio by 3:

\$(2 \times 2) : (3 \times 2) = 4 : 6\$ \$(2 \times 3) : (4 \times 3)\$ = 6 : 12]

6

Step

Combined ratio of a: b: c is:

4 : 6 : 12

7

Step

Divide all terms by 2 to simplify the ratio:

2:03:06

8

Solution

The values of a : b: c are 2:3:6.

9

Sumup

Please summarize steps

Choices

10

Choice-A

The simplified ratio after combining the given ratios is correct.

Correct 2:03:06

11

Choice-B

This option is wrong. The relationship between a, b, and c is not accurately reflected

Wrong 2:06:04

12

Choice-C

Incorrect. Implies a = 4b, contradicting a:b = 2:3

Wrong 4:06:06

13

Choice-D

This option doesn’t maintain the correct ratios given for a: b and b: c

Wrong 6:12:04

14

Answer

Option

A

15

Sumup

Please summarize choices