Question

The sum of two numbers is 36 and their hcf and lcm are 3 and 105. find the grater number.

Answer 1

the equation are X+Y=36
so Y=36-X
and
HCF * LCM = XY

Answer 2

Answer:

The greater number is 21

Step-by-step explanation :

The sum of two numbers is 36

Let the first number be x

⇒ then the second number will be 36 - x

Their H.C.F. and L.C.M. are given to be : 3 and 105

Now, H.C.F. × L.C.M. = Product of two numbers

⇒ 3 × 105 = x × (36 - x)

⇒ x² - 36x + 315 = 0

On solving the equation we get , x = 15 or 21

Therefore, The greater number is 21