Question

The Difference between the digits of a two digits is 1 .the number itself is 1 more than 5 times the sum of its digits. If the units digits is greater than the tens digits. Find the number

Answer 1

Step-by-step explanation:

let the digit in 10's place be y

and in 1's place be x

number = 10y + x

as x - y = 1

    x = 1 + y

also 10y + x = 5(x + y) + 1

10y + x = 5x + 5y + 1

10y - 5y = 5x - x +1

5y = 4x + 1

5y - 4x = 1

substituting x = y + 1

5y - 4(y + 1) = 1

5y - 4y - 4 = 1

y = 5

hence x = 1+ y = 6

number is 10y + x = 10(5) + 6 = 56

the number is 56

                                 

Answer 2

Answer:

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