A number is 36 less than the number obtained by reversing its digits. If its unit’s and tens digits are x and y respectively, write the linear equation representing the given information. Also draw the graph of the equation.
Answers
Answer:
Digit in units place = x
Digit in tens place = y
The number = 10y-x
10y-x = 10x-y-36
so 10y-y = 10x+x-36
9y = 11x-36
Given : A number is 36 less than the number obtained by reversing its digits. its unit’s and tens digits are x and y respectively,
To find: linear equation representing the given information
Solution:
Let say number = xy
Value of number = 10x + y
Reverse number = yx
Value = 10y + x
number is 36 less than the number obtained by reversing its digits
=> 10x + y = 10y + x - 36
=> 9x - 9y = -36
=> x - y = -4
=> y - x = 4
x y
1 5
2 6
3 7
4 8
5 9
y - x = 4 is the Equation
numbers are 15 , 26 , 37 , 48 , 59
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