Answer:
<em>Bert is 11 years old and Max is 17 years old.</em>
Step-by-step explanation:
<u>System of Equations</u>
To solve the system of equations, we use two variables x and y. Let's make:
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem, five years ago, Max was twice as old as Bert, thus:
x - 5 = 2(y - 5) [1]
It's also known a year from now, the sum of their ages would be 30:
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
(2y - 5) + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3 = 11
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5 = 17
x = 17
Max is 17 years old and Bert is 11 years old
Answer:
A. 5
Step-by-step explanation:
Let n = number
(3n)+6 = 5n-4
Subtract 3n from each side
(3n)-3n+6 = 5n-3n-4
6 = 2n-4
Add 4 to each side
6+4 = 2n -4+4
10 = 2n
Divide by 2
10/2 = 2n/2
5 =n
"fifty seven miles over three gallons" is the right answer
Step-by-step explanation:
Given unit rate is:
19 miles per gallon
We have to see that which of the given options equals to the given unit rate
So,
three gallons over fifty seven miles
fifty seven miles over three gallons
Hence,
"fifty seven miles over three gallons" is the right answer
Keywords: Unit rate, Fractions
Learn more about unit rate at:
#LearnwithBrainly