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The difference between a two digit …

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The difference between a two digit number and the number obtained by interchanging the digits is 9. Find the difference between the two digits of that number.

Posted by Minu Kumari 6 years, 6 months ago

CBSE > Class 08 > Mathematics

1 answers

Gaurav Seth 6 years, 6 months ago

Let the unit digit be x and ten's digit be y .
So, Number will be 10y + x .
After, reversing the digits, number = 10x +y.
Now,
As per the question,
10y+x - (10x+y ) = 9
=> 10y + x -10x - y = 9
=> 9y-9x = 9
=> 9(y-x) = 9
=> y- x = 1......(i)
Again,
x+ y = 15.......(ii)
By solving (i) and (ii) ,
2y = 16, y = 8.
And, x = 7.
Thus, Number will be 87.
And, product of the digits will be 56.

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Posted by Monika 8B 5 months, 4 weeks ago

CBSE > Class 08 > Mathematics