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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.