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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Let the digits be x and y Then actual number = 10x+y Sum of digits = x+y = 9 ----------------(1) 27 added to the number = 10x+y+27 Then the number is reversed ⇒ 10x+y+27 = 10y+x ⇒ 10x+y+27-10y-x =0 ⇒ 9x - 9y +27 = 0 ⇒ 9(x - y +3) = 0 ⇒ x - y +3 = 0/9 ⇒ x - y +3 =0 ⇒ x - y = -3 ----------------------(2) Solving (1) and (2) x + y = 9 x - y = -3

⇒ 2x = 6 ⇒ x =6/2 ∴ x = 3 Substituting x =3 in eq (1) ⇒ x + y = 9 ⇒ 3 + y =9 ⇒ y = 9 -3 ∴ y = 6 The number = 10x+y = 10(3) + 6 = 30+6 = 36