Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If A is greater than B by 7, B is greater than C by 16, and A + B + C is 255, then the value of 3A + C - 4B is:

Options:

5

10

8

4

Correct Answer:

5

Explanation:

Let the value of c = x

Then according to the question,

B = x + 16

A = x + 16 + 7 = x + 23

Now A + B + C =

x + 23 + x + 16 + x = 255

3x + 39 = 255

3x = 216

x = 72

A = 72 + 23 = 95

B = 72 + 16 = 88

C = 72

The value of 3A + C - 4B = 3×95 + 72 - 4×88 

3A + C - 4B = 5