If you multiply your neighbor's age by 4, add 7, divide by 3, and subtract 9, the result is 20. how old is your neighbor?
neighbour's age --- x
(4x+7)/3 - 9 = 20
times 3
4x+7 - 27 = 60
4x = 80
x=20
The neighbour is 20 years old
check:
times 4 --->80
add 7 ---->87
divide by 3 --> 29
subtract 9 ---> 20
Let N be your neighbor's age. According to the information given:
((N * 4) + 7) / 3 - 9 = 20
Simplifying the equation:
(N * 4 + 7) / 3 = 29
Multiplying both sides by 3:
N * 4 + 7 = 87
Subtracting 7 from both sides:
N * 4 = 80
Dividing both sides by 4:
N = 20
Therefore, your neighbor is 20 years old.
To find out how old your neighbor is, we can set up an equation based on the given information.
Let's break down the problem step-by-step:
1. Multiply your neighbor's age by 4: Let's represent your neighbor's age as "x". This step gives us the equation: 4x.
2. Add 7: This step gives us 4x + 7.
3. Divide by 3: This step gives us (4x + 7) / 3.
4. Subtract 9: This step gives us (4x + 7) / 3 - 9.
Finally, we know that the result is 20. So we can set up the equation as follows:
(4x + 7) / 3 - 9 = 20
To solve this equation and find the value of "x" (your neighbor's age), we can follow these steps:
1. Multiply both sides of the equation by 3: This eliminates the fraction.
(4x + 7) - 27 = 60
2. Combine like terms:
4x + 7 - 27 = 60
4x - 20 = 60
3. Add 20 to both sides of the equation:
4x - 20 + 20 = 60 + 20
4x = 80
4. Divide both sides of the equation by 4:
(4x) / 4 = 80 / 4
x = 20
Therefore, your neighbor is 20 years old.