Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If 7x2 + y2 = 67, xy = 6 (x, y > 0)

find 2x3 + y3 + 8.

Options:

70

80

85

49

Correct Answer:

70

Explanation:

By Putting x = 3 and y = 2

These values are satisfying the equations:

⇒ 7x2 + y2 = 67

⇒ 7(3)2 + (2)2 = 67

⇒ 67 = 67

Put these values and find:

⇒ 2x3 + y3 + 8 = 2(3)3 + (2)3 + 8 = 54 + 8 + 8 = 70