06-Complete the following equation using the digits 1,3,5,79 Conly once, to showa too digit ) number divided by a two digit a two digit number is casual to one digit number
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Class 8
>>Maths
>>Linear Equations in One Variable
>>Solving Linear Equations with Variable on Both Sides
>>Sum of the digits of a two digit number
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Sum of the digits of a two digit number is 9. When we interchange the digit it is found that the resulting new number is greater than the original number by 27. What is the two digit number
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Let the digits at tens place and ones place: x and 9−x respectively.
∴ original number =10x+(9−x)
=9x+9
Now Interchange the digits: Digit at ones place and tens place: x and 9−x respectively.
∴ New number: 10(9−x)+x
=90−10x+x
=90−9x
AS per the question
New number = Original number +27
90−9x=9x+9+27
90−9x=9x+36
18x=54
x=
18
54
x=3
Digit at tens place ⇒3 and
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