A number of two digits is 6 times the sum of its digits.

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RRB TC CC Exam (Mumbai) 2006 click here to view all questions

A number of two digits is 6 times the sum of its digits. When the sum of its digits is added to the number, the result is 63. What is the number?

A32

B42

C53

D54

Akilesh Kharvi ? Nov 6 '2016 at 22:45

Answer is : 54
Let the number be 10y+x. 
As given, 10y+x=6(x+y) 
10y+x-6x-6y=0 
4y-5x=0 ........(i)

Again, 
10y+x+x+y=63 
=>11y+2x=63 .......(ii)

Solving (i) and (ii), 
x=4 and y=5 
Number = 54

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Answer is : 54 Let the number be 10y+x.  As given, 10y+x=6(x+y)  10y+x-6x-6y=0  4y-5x=0 ........(i) Again,  10y+x+x+y=63  =>11y+2x=63 .......(ii) Solving (i) and (ii),  x=4 and y=5  Number = 54 Akilesh Kharvi ? answered Nov 6 '2016 at 22:45 All Comments

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