The LCM of two numbers is 44 times of their HCF The sum of the LCM and HCF is 1125 If one number is ...........

Quantitative Aptitude (CGL) LCM, HCF

The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is

1100

975

900

800

- Given: LCM is 44 times HCF, and the sum of LCM and HCF is 1125.

- Let HCF be \(x\). Then, LCM = \(44x\).

- Therefore, \(x + 44x = 1125\).

- Solving gives \(45x = 1125\) ? \(x = 25\).

- So, HCF = 25.

- LCM = \(44 \times 25 = 1100\).

- Let the other number be \(y\). We are given one number is 25.

- Relation for two numbers: \(\text{LCM} \times \text{HCF} = \text{product of the numbers}\).

- \(1100 \times 25 = 25 \times y\).

- Solving gives \(y = 1100\).

Correct Answer: Option 1 - 1100

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