Question

There are two numbers whose LCM is 45
times their HCF. If one of the numbers is 125
and the sum of HCF and LCM is 2300, then the
other number is?
(a) 226
(b) 325
(c) 125
(d) 450
(e) 900​

Answer 1

Answer:

(e) 900

Step-by-step explanation:

Suppose HCF is X

then LCM is 45x

according to question LCM + HCF = 2300

so (45X + X = 2300)

and X=50

HCF = 50

So LCM ◆ 45×50=2250

HCF× LCM = Multiplication of both number

50×2250 = 125 × second Number

So Second Number = 900