Two numbers are in ratio 2 : 7 and their L.C.M. is 182. The greater number is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 91
Two numbers in the ratio 2 : 7 can be written as \(2k\) and \(7k\). Since 2 and 7 have no common factor, the HCF of the two numbers is \(k\), so their LCM is \(2\times7\times k=14k\).
\(14k=182\), so \(k=13\)
The numbers are \(2\times13=26\) and \(7\times13=91\)
The greater number is 91