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A number consists of two digits . When the number is divided by the sum of its digits , quotient is 7. If 27 is subtracted from the number , the digits interchange. What is the number?

Posted by Manoj Kumar Pandey 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 5 months ago

Let unit digit=x
tens digit=y
number=10y+x
(10y+x)/x+y =7 (1)
10y+x-27=10x+y
9y-9x-27=0
y-x-3=0
from (1) 10y+x=7x+7y
3y=6x
y=2x
2x-x-3=0
x=3,y=6
number=63

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CBSE > Class 10 > Mathematics