Question

the hcf of two numbers is 5 and lcm is 10, and one number is 5, so what is the other number?

Answer 1

HCF = 5

LCM = 10

ONE NUMBER = 5

OTHER NUMBER =?

$\rule{200}{2}$

Let the other number be x

So,

We know that :-

HCF * LCM = PRODUCT OF 2 NUMBERS

$5 \times 10 = 5x \\ \\ \\ 5x = 50 \\ \\ \\ x = 50 \div 5 \\ \\ \\ x = 10$

$\rule{200}{2}$

$\boxed{x=10}$

$\rule{200}{2}$


Verification :-

Two numbers are 5 and 10

So,

HCF:-

5 = 1*5
10= 5 * 2

So, HCF is 5


LCM :-

5 = 1*5
10= 5 * 2

LCM = 5*2 = 10

Hence,

The numbers are 5 and 10