Mathematics

# If twice a​ number, added to 33 is divided by the number plus 33​, the result is seven fourths. Find the number.

#### Llama11

2 years ago

Thanks for the question.

Let the number be x.

Twice the number added to 33 = 2x + 33
Divided by number plus 33        =  x+ 7

(2x + 33) ÷ (x + 7) = 7/4

(2x + 33)/(x + 7) = 4/7      Cross multiply

4*(2x + 33) = 7*(x+33)

8x +  132  = 7x + 231

8x - 7x  = 231 -132

x = 99

The number is 99.