SOLUTION: A two digit number such that its tens digit is greater than its unit digits by 4. The two digits number is less than 4 times the product of its digits by 11 . Please find the numbe

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Question 983813: A two digit number such that its tens digit is greater than its unit digits by 4. The two digits number is less than 4 times the product of its digits by 11 . Please find the number
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
10t%2Bu is the two-digit number.

system%28t-u=4%2C4%2At%2Au-%2810t%2Bu%29=11%29
The first and the second sentences.

system%28t=u%2B4%2C4tu-10t-u=11%29

Substitute for t in the second equation.
4%28u%2B4%29u-10%28u%2B4%29-u=11
4u%5E2%2B16u-10u-40-u-11=0
4u%5E2%2B5u-51=0-----------use formula for general solution to quadratic equation.

u=%28-5%2B-+sqrt%2825%2B4%2A4%2A51%29%29%2F8
u=%28-5%2B-+sqrt%28841%29%29%2F8
u=%28-5%2B29%29%2F8 because the MINUS form makes no sense for digits.
u=24%2F8
highlight%28u=3%29

The TENS digit:
t=u%2B4
t=3%2B4
highlight%28t=7%29