1.

The difference between the digit of a two digit number is 4 .the sum of the number and the number formed by reversing its digits is 110. find the two digit number

Answer»

Let the TENS digit be x and the UNITS digit be y.
So the number=10x+y
A.q.
x-y=4
x=4+y (equation 1)
After INTERCHANGING the digits we get
=10y+x
Also,
(10x+y)+(10y+x)=110
11x+11y=110
11(x+y)=110
x+y=110/11
x+y=10
From equation 1 x=4+y
So,
4+y+y=10
2y=10-4
2y=6
y=6/2
y=3
And x=4+y
=4+3
=7
Hence the number is 73.


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