Question

0. The HCF of two numbers is 44 and their LCM is 200 .If one number is 22, find the other

number.​

Answer 1

Real Numbers

LCM or Least common multiple is the Least number which is exactly divisible by two or more numbers. HCF or Highest common factor is the Highest factor present between two numbers.

$\boxed{\begin{array}{l}\textbf{\dag \ \underline{\:Result on HCF and LCM of two numbers\:}}\\\\ (1) \: \rm{HCF \times LCM = product \: of \: the \: two \: given \: numbers.}\\ \\ \textrm{(2) HCF divides LCM completely.}\end{array}}$

We have been given that the HCF of two numbers is 44 and their LCM is 200 and we have been asked to find out the other number if one of the number is 22.

Let us consider that $a$ be the other number.

We know that, the product of HCF and LCM is equal to the product of other numbers.

$\boxed{\bf{HCF \times LCM = product \: of \: the \: two \: given \: numbers.}}$

By substituting the known values in the formula, we get:

$\implies 44 \times 200 = 22 \times a \\ \\ \implies 8800 = 22a \\ \\ \implies a = \dfrac{8800}{22} \\ \\ \implies \boxed{a = 400}$

Hence, the other number is 400.

Answer 2

Answer:

400

Step-by-step explanation:

PRODUCT OF NUMBERS = PRODUCT OF HCF AND LCM

Let the other number be M

44 X 200 = 22 X M

8800 = 22M

M = 8800 / 22

M = 400

The other number is 400

PLS MARK BRAINLIEST