Question

a two digit number is such that the sum of its digit is 8 if 54 subtracted from the number its digits are reversed find the number​

Answer 1

Answer:

let the digits of the no. be X and y

then no. is 10x+y

on reversing digits no. is 10y+x

A. T. Q

10x+y-54=10y+x

10x-x-54=10y-y

9x-54=9y

9(x-6)=9y

on cancelling 9 from both sides we get

x-6=y

putting y=x-6 in x+y=54 we get

x=7

y=1

Answer 2

Answer:

71

Given:

A two-digit number is such that the sum of its digit is 8, if 54 is subtracted from the number its digits are reversed.

To find:

Value of the digit.

Solution:

Let, the digits of the numbers be x and y

The Sum of the digits is 8

x + y = 8

If 54 is subtracted from the number its digits are reversed find the number

xy - 54 = yx

Possibilities of getting 8 as the sum of two-digits.

1 + 7

2 + 6

3 + 5

4 + 4

5 + 3

6 + 2

7 + 1

the digit is great than 54,

= 7 + 1 = 8, 71 - 54 = 17.

answer is 71.

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