1.

Sum of the digits of two digit number is 8.when we inter change the digit,it is found that the resulting new number is less than the original number by 54. What is the two digit number

Answer»

ong>Answer:

let the no. at unit place is y

tens place is x

so the EQUATION is ACCORDING to QUESTION is 10x+y=8..............(i)

then we interchange the digits so the digits after interchanging is 10y+x

According to question,

10y+x=10x+y-54

9x-9y=54

9(x-y)=54

x-y=6.............(ii)

by adding equation (i) and (ii) we get:

x=14/11


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