Question

8. The LCM of two numbers is 20 times of their
HCF and (LCM+ HCF) = 2520. If one number is
480, what will be the triple of another number?
(a) 44445 (b) 99990
(c) 2100 (d) 1800​

Answer 1

Answer:

(d) 1800

Explaination step by step:

First number = 480

Let other number be x

Let HCF of the numbers be y

then LCM of the numbers be 20y

according to the question:

y + 20 y = 2520

21 y = 2520

y = 2520/21

y = 120 (HCF of the numbers)

LCM of the numbers = 20 * 120

= 2400

As we know

LCM * HCF = 480 * x

2400 * 120 = 480x

288000 = 480 x

288000/480 = x

600 = x ( the other number)

the triple of another number = 600 * 3

= 1800