Question

SOLVE THE FOLLOWING QUESTION:-

LCM of 2 numbers is 2295 and HCF is 9. If one of the number is 153, find the other number. These are the options : (A)1035 (B) 45 (C) 145 (D) 135 . with full explanation in detail .​

Answer 1

Answer:

153

Step-by-step explanation:

HCF x LCM = Product of two numbers

⇒ 9 x 2295 = 135 x l

⇒ l = 20655/135 = 153

Answer 2

Answer:

If LCM of 2 numbers is 2295 and HCF is 9, and one of the numbers is 153, the other number is 135.

Step-by-step explanation:

LCM and HCF of two numbers are given along with one of the numbers. In this case, the second number can be calculated using the following formula.

Product of two numbers = product of their LCM and HCF

Let the second number be a. Then the above equation becomes

153 × a = 2295 × 9

153 × a = 20655

        a  =  $\frac{20655}{153}$

         a = 135

Therefore the required number is 135.