Math, asked by pachipalasatwick246, 1 year ago

19.LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and sum
of their HCF and LCM is 115a, find the other number.
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Answers

Answered by swan030782
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Answer:

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.

hope it helps.....

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