Question

The difference of the digits of a two digit number is 5.when we interchange the digitss, it is found that the sum resulting new number and the original number is 99.find the two digit numbers

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

72

Step-by-step explanation:

Let the digits of the number be a and b.

Number : 10a + b

Reversed digits : 10b + a

Given,

10a + b + 10b + a = 99

→ 11a + 11b = 99

→ 11(a + b) = 99

→ (a + b) = 99/11

→ a + b = 9

→ a = 9 - b

Given,

a - b = 5

→ a = b + 5

→ 9 - b = b + 5

→ - b - b = - 9 + 5

→ - 2b = - 4

→ b = - 4/- 2

→ b = 2

a = b + 5

→ a = 2 + 5

→ a = 7

Number = 72

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