Question

Sum of the digits of a two digits
number obtained by interchanging
the digits exceeds the given number by 4 : 5find the given number .... pls help me it's very urgent​

Answer 1

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9th

Maths

Linear Equations in Two Variable

Solution of Linear Equations in Two Variables

The sum of digits of a two ...

MATHS

The sum of digits of a two digit number is 15. The number obtained by interchanging the digits exceeds the given number by 9. Find number.

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ANSWER

Let the units digit be x and tens digit be y.

Then, x+y=15 ……….(i)

Given number: 10y+x

Interchanged digits: 10x+y

A.t.Q:-

⇒(10x+y)−(10y+x)=9

⇒10x+y−10y−x=9

⇒9x−9y=9

⇒x−y=1 ………(ii)

Solving (i) and (ii)

x=8, y=7

∴ Two digit number=78.