Two numbers are in the ratio of 9 : 7. I

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

Two numbers are in the ratio of 9 : 7. If the larger number is 56 more than one-seventh of the smaller, then what is the sum of two numbers?

Options:

130

112

Correct Answer:

112

Explanation:

A : B

9 : 7

According to the question,

⇒ 9x = \(\frac{1}{7}\) × 7x + 56

⇒ 9x = x + 56

⇒ 8x = 56

⇒ x = 7,

⇒ Sum of A and B = (9 + 7)x = 16x = 16 × 7 = 112.