Question

the LCM of two consecutive even numbers is 544 find the numbers​

Answer 1

Step-by-step explanation:

let smallee number be 2n

then other no is 2n + 2

Their HCF = 2 because consecutive m numbers in AP have their HCF = m!

2n(2n+2) = 544(2)

n^2 + n = 544÷2=272

n^2 + n -272 = 0

n^2 + 17n - 16n -272=0

(n+17)(n-16) = 0

n=16 or -17

numbers are (32,34) or (-34,-32)