Question

18. The LCM of two positive integers
is twice the larger number. The
difference of the smaller number
and the GCD of the two numbers
is 4. The smaller number is :


expain​

Answer 1

jakaosisiwkwkiaiaiwiw

Answer 2

Answer:

Let the numbers be x H and yH where H is the HCF and yH > x H.

∴ LCM = xy H

∴ xyH = 2yH ⇒ x = 2

Again, x H – H = 4

⇒ 2H – H = 4 ⇒ H = 4

∴ Smaller number = pH = 2 × 4 = 8