The HCF and LCM of two numbers are 9 and 126, respectively. Find the larger number, if the ratio between the numbers is 2 : 7.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 63.
We know that,
L.C.M × H.C.F = a × b
⇒ 9 × 126 = 2x × 7x
⇒ 1134 = 14x2
⇒ x2 = 81
⇒ x = 9
So,
⇒ 2x = 18, and
⇒ 7x = 63
larger number = 63