The LCM of two numbers is 40 times of their HCF. The sum of the LCM and HCF is 1476. If one of the numbers is 288, find the other numbers.

169

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180

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240

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260

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Solution

The correct option is B 180
Let the HCF be x.
Then, LCM + HCF = 1476
40x + x = 1476 or x = 36
Therefore, HCF = 36 and LCM = 40x = 1440
We know that product of numbers = LCM $\times$ HCF. Now,
you can solve the equation. Answer is 180.

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