add 15 to a number,then multiply the result by 3.the answer is the same as subtracting 4 from the number and multiply the result by 5.find the number
add 15 to a number ... x+15
multiply the result by 3 ... 3(x+15)
that is the same as
subtracting 4 from the number ... x-4
multiply the result by 5 ... 5(x-4)
so now just solve
3(x+15) = 5(x-4)
3x+45 = 5x - 20
2x = 65
x = 65/2 = 32 1/2
and yes, that is the answer.
But, as always, you should check it to be sure it works as required.
thanks
please help me i don't understand
Let's denote the number as 'x'. We can solve this problem by setting up an equation and then solving for 'x' using basic algebraic operations.
According to the given information, we have two conditions:
1. Adding 15 to the number, then multiplying the result by 3, is equal to the number after subtracting 4 and then multiplying the result by 5.
(x + 15) * 3 = (x - 4) * 5
2. We need to find the value of 'x'.
Now, let's solve the equation step by step:
Step 1: Distribute the multiplication on both sides of the equation.
3(x + 15) = 5(x - 4)
Step 2: Expand the equation.
3x + 45 = 5x - 20
Step 3: Move all the 'x' terms to one side and the constant terms to the other side.
3x - 5x = -20 - 45
-2x = -65
Step 4: Divide both sides by -2 to isolate 'x'.
x = -65 / -2
x = 32.5
Therefore, the number is 32.5.