Lcm of two numbers is 45 times their hcf


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LCM of two numbers is 45 times their HCF if one of the numbers is 125 and sum of their HCF and LCM is 1150 find the other number

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Let the lcm be x and hcf be y and the other number be z.

Given lcm of 2 numbers is 45 times their hcf, the sum of HCF + LCM is 1150.

y = 45x. ---- (1)

x + y = 1150   --- (2)


Substitute equation (1) in (2), we get

46x = 1150

x = 25.


Substitute x = 25 in (1), we get

y = 45 * 25 = 1125.


We know that  product of two numbers = LCM * HCF

                                125 * z = 25 * 1125

                                z = 25 * 1125/125

                                   = 225.


The other number = 225.

Do you know the better answer?

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