Ⅰ. x 2 -24x + 144 = 0 Ⅱ. y 2 − 26y + 169 = 0

As per the given above question , we have
From equation Ⅰ. x² - 24x + 144 = 0
⇒ x² − 12x - 12x + 144 = 0
⇒ x(x − 12) − 12(x − 12) = 0
⇒ (x − 12)² = 0
∴ x = 12
From equation Ⅱ. y² − 26y + 169 = 0
⇒ y² − 13y − 13y + 169 = 0
⇒ y(y − 13) − 13(y − 13) = 0
⇒ (y − 13)² = 0
∴ y = 13
Hence, required answer will be x < y .