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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
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- 1100
- 975
- 900
- 800
Correct Option: A
Let the HCF of two numbers be H . then
According to question ,
LCM = 44H
∴ 44H + H = 1125
⇒ 45H = 1125
| ∴ H = | = 25 | 45 |
∴ LCM = 44 × 25 = 1100
As we know that ,
First number × Second number = LCM × HCF
⇒ 25 × Second number = 1100 × 25
| ∴ Second number = | = 1100 | 45 |
