SOLUTION: The sum of two numbers is 92. One fifth of the first number added to one half of the second number is 34. Find the two numbers.

Algebra.Com
Question 216536: The sum of two numbers is 92. One fifth of the first number added to one half of the second number is 34. Find the two numbers.
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 92. One fifth of the first number added to one half of the second number is 34. Find the two numbers.

Step 1. Let be the first number and be the second number.

Step 2. Let be one-fifth of the first number

Step 3. Let be one half of the second number.

Step 4. Then, since the first number added to one half of the second number is 34.

Step 5. Solving yields the following steps.

Multiply 10 to both sides of the equation







Add 3x-340 to both sides of the equation





Divide 3 to both sides of the equation



and

Check......which is a true statement

Step 6. ANSWER: The numbers are 40 and 52.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit
http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

RELATED QUESTIONS

The sum of two numbers is 92. One fifth of the first number added to one half of the... (answered by nerdybill)
One positive number is one-fifth of another number. The difference between the two... (answered by ovie27)
if The sum of one-half and 0ne-fifth of a num exceeds one-third of that num by 7 1/3, the (answered by stanbon)
one half of 12 is added in a num,ber what is the number (answered by stanbon)
The sum of two numbers is 27. one half of the first number plus one third of the second... (answered by jim_thompson5910)
THE SUM OF TWO NUMBERS IS 27. ONE HALF OF THE FIRST NUMBER PLUS ONE THIRD OF THE SECOND... (answered by checkley77)
The sum of two numbers is 27. One half of the first number plus one third of the second... (answered by edjones)
The sum of two numbers is 27. One half of the first number plus one third of the second... (answered by haileytucki,mananth,richard1234)
half of the sum of two numbers is 6 less than the first number.one-third of their... (answered by shweta)