SOLUTION: If three times a number is increased by 5, the result is the same as when 77 is decreased by nine times the number. Find the number.

Question 175139: If three times a number is increased by 5, the result is the same as when 77 is decreased by nine times the number. Find the number.

Found 2 solutions by solver91311, Earlsdon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
A number:

Three times the number:

Three times the number increased by 5:

Nine times the number:

77 decreased by nine times the number:

So: is the same as which means:

Just solve for

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let n = the number.
Add 9n to both sides.
Subtract 5 from both sides.
Divide both sides by 12.

Check:
Substitute n = 6.
Evaluate both sdies.

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