Question

If the LCM is 45 times the hcf. And the sum of LCM and hcf is 1150. Find the hcf.

Answer 1

$\huge \fcolorbox{red}{pink}{Correct Question :)}$

The LCM of two numbers is 45 times their HCF . if one of the numbers is 225 and sum of their LCM and HCF is 1150 , find the other number

$\huge \fcolorbox{red}{pink}{Solution :)}$

Let , HCF of a two numbers be x

Given ,

• LCM of the numbers = 45x
• Sum of HCF and LCM = 1150

Thus ,

45x + x= 1150

46x = 1150

x = 1150/46

x = 25

Hence , the HCF and LCM of two numbers are 25 and (45 × 25) i.e 1125

We know that ,

$\large \mathtt{ \fbox{LCM(a \: and \: b) = \frac{Product \: of \: two \: numbers \: (a \: and \: b)}{HCF(a \: and \: b)} }}$

1125 = (225 × b)/25

b = 28125/225

b = 125

Hence , the other number is 125

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Answer 2

Answer:

Your answer is here ..

Mate, hope it helps you..

Step-by-step explanation:

Given that LCM = 45 x HCF

Sum of HCF and LCM is given that 1150.

let HCF be x.

then LCM is 45x.

sum = 1150 = 45x + x

1150 = 46x

x= 1150/ 46 = 25

HCF = 25.