The sum of two numbers is 56. Their difference is $\frac{1}{7}$ of their sum. Their LCM is :
The sum of two numbers is 56. Their difference is $\frac{1}{7}$ of their sum. Their LCM is :
दो संख्याओं का योग 56 हैं। उनका अंतर उनके योग का$ \frac{1}{7}$ हैं। उनका लघुत्तम समापवर्त्य (LCM) ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
96
Given:
Sum = 56
Difference = $\frac{1}{7}\times56=8$
Numbers:
First number = $\frac{56+8}{2}=32$
Second number = $\frac{56-8}{2}=24$
Now find LCM:
$32=2^5$
$24=2^3\times3$
LCM $=2^5\times3$
=96
Answer: 96
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