Question

the ratio of two Number is 4:5 and their L. C. M. is 100.Determine their sum?

Answer 1

20 and 25 is the answer. Their sum is 45

Answer 2

$\textbf{Answer}$

Suppose first of two numbers is 4x

Since ratio of both number is 4 : 5
=> Other number = 5x

So LCM of 4x and 5x = (4)×(5)×(x)
=> LCM = 20x

$\textbf{Since given LCM = 100,}$
=> 20x = 100
=> x = 100/20
=> x = 5

=> 4x = 4 × 5 = 20
=> 5x = 5 × 5 = 25
$\textbf{First Number = 20}$
$\textbf{Second Number = 25}$

$\textbf{Lets calculate sum of numbers,}$
=> 4x + 5x = 9x
=> 4x + 5x = 9 × 5
=> 4x + 5x = 45

$\textbf{Sum of both numbers = 45}$

$\textbf{Hope My Answer Helped}$
$\textbf{Thanks}$