Question

21. The LCM of two numbers is 4
times their HCF. The sum of LCM
and HCF is 125. If one of the
number is 100, then the other
number is
(1) 5
(2) 25
(3) 100 (4) 125​

Answer 1

Answer:

Let us assume that HCF=y and LCM=4y. One of the numbers is given as 100. Assume the other number as x.

Step-by-step explanation:

We know that sum of hcf and lcm=125

HCF+LCM=125

Substituting the values we get:

y+4y=125

5y=125

y=25

From this hcf=25 and lcm=100.

The relation between the numbers and their hcf and lcm is

HCF x LCM= Product of numbers

25 x 100=100 * x

We get x=25