a two digit nmbr is 3more than 7times the sum of its digits. how many such nmbrs are there?
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Let xy represent the 2 digit number
The value of the number xy is:
10x+y…….(1)
The sum of the digits is:
x+y………(2)
Now,according to question,equation 1 is related to equation 2 by the expression:
10x+y=7(x+y)+3
10x+y=7x+7y+3
3x=6y+3
x=2y+1
Now,we find the possible values of x and y:
y=1;x=2*1+1=3
y=2;x=2*2+1=5
y=3;x=2*3+1=7
y=4;x=2*4+1=9
Pls note that y cant be>4,as in that case x will become a 2 digit number but x and y are both single digit number.
So the possible 2 digit numbers are:
31
52
73
94
So there are 4 possible numbers.
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