Question

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

Answer 1

Answer:

78

Explanation step by step:

let the no. be 10x+y

Given»»x+y=15(i)

10y+x=10x+y+9(ii)

from (i)x=15-y

putting the value of x from (i) in (ii)

therefore 10y+15-y=10(15-y)+y+9

9y+15=159-9y

18y=144

y=144/18

y=8

therefore x=15-y

x=15-8

x=7

therefore the no is 10x+y=10×7+8

the no is 78

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