arrow
arrow
arrow
Two numbers are in the ratio 5:7. The product of their HCF and LCM is 2835. What is the sum of the numbers?
Question

Two numbers are in the ratio 5:7. The product of their HCF and LCM is 2835. What is the sum of the numbers?

A.

108

B.

107

C.

109

D.

106

Correct option is A

Given:

Ratio of two numbers = 5:7

Product of HCF and LCM = 2835

Formula Used:

Product of two Numbers = Product of their HCF and LCM

Solution:

Here let the numbers be 5x and 7x

(5x)(7x) = 2835

35x2=283535x^2 = 2835​​

x= 81\sqrt{81}​​

x= 9

Sum of the numbers = 5x +7x = 12x = 12 ×\times​ 9 = 108

Free Tests

Free
Must Attempt

SSC GD PYP (Held on 4 Feb 2025 S1)

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Hindi Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon12 Mins
languageIcon English
Free
Must Attempt

SSC GD Constable Full Mock Test 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
test-prime-package

Access ‘Delhi Police Constable’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow