The sum of a number and 6% of itself is 42.4. find the number

The answer is x = 40

Step-by-step explanation:

6% of a number is 6/100 * x

Of means multiply.

so 6% of x = 6/100 * x = 6 * x / 100 = 0.06x

Now just put these two together.

x + 0.06x = 42.4 Combine the left

1.06x = 42.4 Divide by 1.06

x = 42.4 / 1.06

x = 40

40

Step-by-step explanation:

6% of number = 6/100 * x = 6x/100 = 3x/50

Sum of the number and 6% of itself = 42.4

x + (3x/50) = 42.4

(50x+3x) / 50 = 42.4

53x = 42.4 * 50

53x = 2120

x = 2120/53

x = 40