Question

The L C M of the two numbers is 24.Their sum is14.What are the numbers

Answer 1

Answer:

The L C M of the two numbers is 24.Their sum is14.

solution~

the LCM of two no. are

24

means

LCM = 24= 2×2×2×3

and the sum is =14

we can solve this by this method

let the no. be ..... a and b

a×b= 24

a+b=12

X^2 + 12X + 24 =0

X^2 + 12X +2X + 24 =0

by taking common

X(X +12) + 2(X + 12) =0

(X+2)(X+12)=0

then the no. are

2 and 12