SOLUTION: A two digit question is such that it's digit is greater than its unit by 5,if the number is 14 less than 3 times the product of its digit,find the number

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Question 1107739: A two digit question is such that it's digit is greater than its unit by 5,if the number is 14 less than 3 times the product of its digit,find the number
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
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A two digit number is such that ' its digit is greater than its unit by 5.
If the number is 14 less than 3 times the product of its digits, find the number
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Let us present the unknown number N in decimal form via its "tens" digit "t"  and  "ones" digit "u"  N = 10*t + u.


Then the condition says

t = u + 5                   (1)
10*t + u = 3*t*u - 14.      (2)


It is your system of equations to solve.

From (1), substitute the expression for "t" into equation (2). You will get

10*(u+5) + u = 3*(u+5)*u - 14,

10u + 50 + u = 3u^2 + 15u - 14,

3u^2 + 4u - 64 = 0,

 =  = .


The only integer positive solution is u = 4.

Then   t = u+5 = 9.


The number is  94.


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