JIPMAT 2022 (QA) - If the LCM of two numbers is 12 times their HCF and the sum of LCM and HCF is 403, and one number is 93, find the other number. | PYQs + Solutions | AfterBoards
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JIPMAT 2022

Number System
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HCF & LCM

Conceptual

If the LCM of two numbers is 12 times their HCF and the sum of LCM and HCF is 403, and one number is 93, find the other number.

Correct Option: 1
Let HCF = xx \newline Then LCM = 12x12x
Given: LCM + HCF = 403403
12x+x=40312x + x = 403 \newline 13x=40313x = 403 \newline x=31x = 31
So, HCF = 3131 and LCM = 372372
Given one number = 9393 \newline Let other number = nn
Using property: Product of numbersHCF=LCM\frac{\text{Product of numbers}}{\text{HCF}} = \text{LCM}
93×n31=372\frac{93 × n}{31} = 372
93×n=11,53293 × n = 11,532 \newline n=124n = 124
Therefore, the other number is 124124

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