ratio of two numbers is 4:5 and their LCM is 220. find the numbers
Answers
Answered by
34
Ratio of numbers = 4:5
let the numbers be 4x and 5x.
4x = 4 × x
5x = 5 × x
So LCM = 4×5×x = 20x
20x = 220
⇒ x = 220/20 = 11
numbers are:
4x = 4×11 = 44
5x = 5×11 = 55
let the numbers be 4x and 5x.
4x = 4 × x
5x = 5 × x
So LCM = 4×5×x = 20x
20x = 220
⇒ x = 220/20 = 11
numbers are:
4x = 4×11 = 44
5x = 5×11 = 55
bestypesty:
hey but (4x) (5x) = 20 x squared right?
Answered by
17
Given ratio=4:5
So,let the numbers be 4y,5y
L.C.M=4*5*y
=20y
20y=220
Y=220/20
Y=11
And thus the numbers could be find
4y=4*11=44
5y=5*55=55
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