One of the two numbers of a two digit number is 4 times the other digit. If we interchange the digits and add the resulting number to the original number we get 110.What is the original number
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Let the number at tens place be x and units place be y.
Therefore, the required number is :
10x+y
From first condition,
x=4y
From second condition,
10x+y+10y+x=110
11x+11y=110
x+y=10............ (2)
4y+y=10.........From (1)
5y=10
y=10/5
y=2
Substituting the value of y in (1)
x=4y
x=4×2
x=8
Therefore,
The original number:
10x+y=10×8+2
=82
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