if 5 is added to a number and the sum is tripled, the result is 27 more than the number. Find the number
3(5+N)=N+27
solve N
Five times Kathy age increased by 2, is the same as twice her age increased by 11,how old is Kathy
To solve this problem, let's break it down step by step:
Step 1: Let's assume the number we are looking for is represented by the variable "x".
Step 2: "5 is added to a number" can be written as x + 5.
Step 3: "The sum is tripled" can be written as 3 * (x + 5).
Step 4: "The result is 27 more than the number" can be written as 3 * (x + 5) = x + 27.
Now, let's solve the equation:
3 * (x + 5) = x + 27
Distribute the 3:
3x + 15 = x + 27
Subtract x from both sides:
3x - x + 15 = 27
Combine like terms:
2x + 15 = 27
Subtract 15 from both sides:
2x + 15 - 15 = 27 - 15
Simplify:
2x = 12
Divide both sides by 2:
2x / 2 = 12 / 2
Simplify:
x = 6
The number we are looking for is 6.