SOLUTION: the tens digit of a two digit number is 3 less than the units digit,the number is four times the sum.find the number

Question 254111: the tens digit of a two digit number is 3 less than the units digit,the number is four times the sum.find the number

Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Let the required number be xy
Given, tens digit of a two digit number is 3 less than the units digit
So, x = y-3 ...(1)
Also, the number is four times the sum.
10x+y = 4(x+y)
10x+y = 4x+4y
10x-4x = 4y-y
6x = 3y
2x = y ...(2)
(1)-(2)=> x-2x = y-3-y
-x = -3
x = 3
Substitutimg in (1), 3 = y-3
3+3 = y
y = 6
Therefore the required number is 36
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