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.
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