Question

2. A two digit number is such that the sum of the ones and the tens digit is ten. If the digits are eversed, the new number formed exceeds the original number by 54. Find the number. (3mks)​

Answer 1

28

Explanation:

10a + b = 10b + a - 54

-a -10b -10b -a

9a - 9b = -54 Factor the 9

9(a - b) = -54 Divide both sides by 9

a - b = -6

a + b = 10

2a = 4 Divide both sides by 2

a = 2

b = 8 a + b = 10, 2 + b = 10 b = 8

New number 28

Original number 82

8 + 2 = 10

82 - 54 = 28