Answer: 6 & 14
Step-by-step explanation:
Let the bigger number be 'p' and the smaller number 'p'.
Since the numbers have a difference of 8, then p - q = 8
& since the larger number is two more than twice the smaller, then
p = 2q + 2
⇒ (2q + 2) - q = 8 [by substituting for equation for p]
q = 6
Since q = 6,
⇒ p - 6 = 8
p = 14
∴ the smaller number is 6 and the bigger 14
