the different between two numbers is 16. the greater number is 10 more than twice the smaller number.
Answers
Answer:
You have given two pieces of information. First, the difference between two numbers is 10.
a−b=10
Second, the sum of the larger one and two-thirds of the smaller one is 16. From the first equation, it is immediately obvious that a is the larger number. Therefore, this second piece of information is a+23b=16
We have two equations and two unknowns so it is simple algebra to find the answer. Solve the first equation for a to get a=10+b. Substitute this expression for a into the second equation above.
(10+b)+23b=16
This is a single equation just in terms of b. It is easily solved for b to get its value.
b=18/5
Given this value for b, it is easy to find a. Let’s use a=10+b to find it.
a=10+18/5=68/5
The final answer is
a=1335
b=335
This is the answer for your Question .
Hope this pics are clear and will help you for the Question.
