Question

The LCM of two numbers is 24 and their HCF is 4. Which of these can be true if the two numbers are denoted by
n
1
and
n
2
?
A.
n
1
+
n
2
= 28
B.
n
1
+
n
2
= 20

​

Answer 1

Answer:

Product of Two Numbers X*Y = HCF * LCM. You see there are 4 variables Viz. X, Y, HCF and LCM. When HCF and LCM is given, we have 2 variables (X and Y) and only one equation i. e. X * Y = HCF * LCM.

Answer 2

BOTH A and B ARE CORRECT

Step-by-step explanation:

let the two numbers be 4a and 4b where a and b are co prime numbers,

now, H.C.F×L.C.M = two numbers

4 × 24 = 4a × 4b

96 = 4a × 4b

ab = 6

after factorising them ,

(a,b)=(1,6)and (2,3)

so, the possible pair could be

( 4,24 )and ( 8,12 )

according to the question,

4 +24 = 28

8 + 12= 20

hence , both a and b are correct