Answer:
see explanation
Step-by-step explanation:
(a)
x + y = 15 → (1)
(b)
xy - yx = 27 ( take into account the place value of the digits )
10x + y - (10y + x) = 27
10x + y - 10y - x = 27
9x - 9y = 27 → (2)
(c)
Multiply (1) by 9
9x + 9y = 135 → (3)
Add (2) and (3) term by term to eliminate y
18x = 162 ( divide both sides by 18 )
x = 9
Substitute x = 9 into (1)
9 + y = 15 ( subtract 9 from both sides )
y = 6
Thus the original number = (9 × 10) + 6 = 90 + 6 = 96
