Question
Download Solution PDFThe LCM of two numbers is 240 times their HCF, and the sum of their LCM and HCF is 17593. One of these two numbers, when divided by 125, the quotient is 8 and the remainder is 95. The other number is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
LCM = 240 × HCF
LCM + HCF = 17593
One number when divided by 125 gives quotient = 8 and remainder = 95
Formula Used:
Product of two numbers = HCF × LCM
Calculation:
LCM + HCF = 17593 and LCM = 240 × HCF:
⇒ 240 × HCF + HCF = 17593
⇒ 241 × HCF = 17593
⇒ HCF = 17593 ÷ 241 = 73
LCM = 240 × 73
⇒ LCM = 17520
First number = 125 × 8 + 95
⇒ First number = 1000 + 95 = 1095
Product of two numbers = HCF × LCM
⇒ 1095 × Second number = 73 × 17520
⇒ Second number = (73 × 17520) /1095 = 1168
∴ The correct answer is 1168.
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