Answer:
68
Step-by-step explanation:
Let the 2 digit no. be
x tens and y units
= 10x + y
x + y = 14 (1)
x × y = (10x + y) - 20
xy = 10x + y - 20
xy - 10x - y = -20
x(y-10) - y = -20 (2)
(1) x = 14 - y
(2) (14-y)(y-10) - y = -20
14y - 140 - y² + 10y - y = -20
y² - 23y + 120 = 0
y² - 15y - 8y + 120 = 0
y(y - 15) - 8(y - 15) = p
(y - 15)((y - 8) = 0
y = 15, 8
Since x and y are single digits,
y = 8
x = 14 - y
x = 14 - 8
x = 6
The number is 68
