Question

The lcm of 2 nos. is 12 and their sum is 10. what are the nos. and what is the method to find the nos.

Answer 1

Given LCM is 12.

Factors of 12 = 1,2,3,4,6,12.

Now the factors whose sum is 10 are 6,4.

The two numbers are 6 and 4  (or) 4 and 6.


Hope this helps!

Answer 2

The numbers are 4 and 6.

Let the numbers be 12/k1 and 12/k2.

So LCM is 12 so we have,

Number 1=12/k1 and second number =12/k2

Sum of numbers is 10 so we have

12/k1 + 12/k2 =10

1/k1+1/k2=10/12

1/k1+1/k2=5/6

k1+k2/k1k2=5/6

Hence k1+k2=5 and k1k2=6

k1=5-k2 putting value (5-k2)k2=6

so the equation becomes 5k2-k2^2-6=0

k2^2-5k2+6=0 on solving we have k2=3

Now k1+k2= so k1=2

So the numbers are 12/k1 and 12/k2 =4,6.

Numbers are 4 and 6.