SOLUTION: This is the closest subject I could find, so, here goes.The real subject is digit problems. ::A number between 300 and 400 is forty times the sum of its digits. The tens digit i

Question 114581This question is from textbook
: This is the closest subject I could find, so, here goes.The real subject is digit problems.
::A number between 300 and 400 is forty times the sum of its digits. The tens digit is 6 more than the units digit. Find the number. This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x=tens digit, y=units digit

Since "The tens digit is 6 more than the units digit" we get

Since the number is between 300 and 400, we know that the number must be of the form and since the number is 40 times the sum of the digits, we then have the equation

Distribute

Now plug in

Distribute again

Combine like terms

Subtract 11y from both sides

Subtract 360 from both sides

Combine like terms

Divide both sides by 91

So the units digit is 0

This means the tens digit is:

So we have:

tens digit: 6 , ones digit: 0

-----------------------------------------
Answer:

So our number is 360

Check:

Notice if we add the digits of 360, we get

3+6+0=9

Now multiply the sum by 40

9*40=360

which is our number. So our answer is verified
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