Question

the sum of two digit number is 10 the number obtain by interchanging digit is 36 more than orignal no? find orignal no?

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Answer 1

Answer:

37

Step-by-step explanation:

Let the original number be =xy

Given,

their sum,   x+y=10...........(1)

on interchanging the number

(10y+x)=(10x+y)+36

9y-9x=36

y-x=4........................(2)

adding (1) & (2) we get

2y=14

y=7

putting the value of y in (1) we get

x=3

the original number is xy i.e. 37

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Answer 2

Let the original number be =xy

Given,

their sum, x+y=10...........(1)

on interchanging the number

(10y+x)=(10x+y)+36

9y-9x=36

y-x=4........................(2)

adding (1) & (2) we get

2y=14

y=7

putting the value of y in (1) we get

x=3

the original number is xy i.e. 37