R

Ravi Chauhan • 11.26K Points
Tutor II Math

Q. If the ratio of two positive numbers is 7 : 9 and their product is 1575, then the greatest number is

  • (A) 45
  • (B) 15
  • (C) 35
  • (D) 55
  • Correct Answer - Option(A)
  • Views: 1404
  • Filed under category Math
Explanation by: Ravi Chauhan
Given ration 7 : 9
So, let the numbers be 7a and 9a. According to the question -
7a * 9a = 1575
63a² = 1575
a² = 1575/63
Or a² = 25
And a =5
So, the two numbers will be -
7a = 7 * 5 = 35
And 9a = 9 * 5 = 45
Hence, the greater number is 45 between the given numbers.

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