The H.C.F. and the L.C.M. of two numbers
The H.C.F. and the L.C.M. of two numbers are 18 and 1296, respectively. If one of the numbers is 162, find the other one.
दो संख्याओं का महत्तम समापवर्तक (H.C.F.) और लघुत्तम समापवर्त्य (L.C.M.) क्रमशः 18 और 1296 हैं। यदि उनमें से एक संख्या 162 है, तो दूसरी संख्या ज्ञात कीजिए।
Detailed Solution & Logic
144
दी गई जानकारी:
H.C.F. = 18, L.C.M. = 1296, एक संख्या = 162
$H.C.F. \times L.C.M. = \text{पहली संख्या} \times \text{दूसरी संख्या}$
मान रखते हैं:
$18 \times 1296 = 162 \times b$
$23328 = 162 \times b$
अब b निकालते हैं:
$b = \frac{23328}{162}$
$162 \times 100 = 16200$
23328 - 16200 = 7128
$162 \times 40 = 6480$
7128 - 6480 = 648
$162 \times 4 = 648$
648 - 648 = 0
तो जोड़ें: 100 + 40 + 4 = 144
अतः दूसरी संख्या है: $b = 144$
Answer : 144
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