SOLUTION: Need help with this word problem. The second of two numbers is 10 more than 3 times the first. Their sum is 70. FInd the numbers

Algebra.Com
Question 357690: Need help with this word problem.
The second of two numbers is 10 more than 3 times the first. Their sum is 70. FInd the numbers

Answer by neatmath(302)   (Show Source): You can put this solution on YOUR website!
Let x be the first number, and y be the second number.

We are given

and or

and

We can solve this system of equations in several ways. We will add the 2 equations together to get





Thus, we have





The two numbers are 15 and 55.

You can check this by trying the two numbers in both equations.

I hope this helps!

RELATED QUESTIONS

please help me solve this word problem: the second of two numbers is 5 more than twice... (answered by checkley77)
The sum of two numbers is 70. The second is 10 more than 3 times the first. Find the... (answered by stanbon)
i need help solving this problem. find 3 consecutive numbers such that 4 times the... (answered by ewatrrr)
I need help with this problem: The sum of two numbers is 15 less than twice the first... (answered by jonvaliente)
Please help me solve this equation: numeric word problem using 3 equations. The... (answered by Mathtut,gonzo)
I need help solving this word problem: The sum of two numbers is 10. Their product is... (answered by Earlsdon)
The sum of two numbers is 3 more than 4 times the first number. Their difference is 10... (answered by josgarithmetic)
the second of two numbers is two more than three times the first number. Their sum is... (answered by algebrahouse.com)
Please help my daughter with the following problem: The second of two numbers is 4 more... (answered by pwac)