Question

the sum of two digits of a two digit number is 13.the difference between the digits of the number is 3.what is the two digit number?

Answer 1

Hey friend..!! here's your answer
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Let the unit digit = x
ten's digit = y

x + y = 13 -------------1

According to question ,


x - y = 3 ---------------2


By using Elimination Method ,


x + y = 13
x - y = 3
- + -
_______
2y = 10

y = 5

Put the value of y in equation 1

x + (5) = 13
x = 13 - 5
x = 8

So that the value of x is 8 and value of y is 5

We know that , Unit = x and ten's = y

So that equation formed xy--------3

Put value of x and y in equation 3

We get 85

So that the number is 85

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#Hope its help you dear#
☺

Answer 2

Answer:-

• The number we get will be 58.

Solution:-

Let:-

The digit at the unit place be b and the digit at the tenth place be a.

According to the question:-

We have:-

=> a + b = 13______(i)

As in the question it's not specified that which digit is greater either a or b so we have two cases :-

If a > b, Then Equation 2 we get will be

=> a - b = 3

Now upon adding these equation 1 & 2 we get

=> 2a = 16

=> a = 16/2

=> a = 8

And:-

=> b = a - 3

=> b = 8 - 3

=> b = 5

So:-

Here the number we get is 85.

If, a < b, then the equation 3 will be

=> b - a = 3

Now, upon adding equation 1 & 3 we get,

=> 2b = 16

=> b = 16/2

=> b = 8

And:-

=> a = b - 3

=> a = 8 - 3

=> a = 5

Therefore:-

Here the number we get will be 58.