If twice a number added to 3 is divided by the number plus 4​, the result is five thirds. Find the number.

Answer 1

Let n be the number is question. Then we have the equation

( 2 x n + 3 ) / ( n + 4 ) = 5 /3 Cross multiplying yield the equation:

6 x n + 9 = 5 x n + 20 So n = 11 Check to see that it works

Answer 2

Name the unknown number "x".

Write the equation to match the description:

(2*x + 3 ) / (x + 4) = 5/3

cross-multiply to clear the fractions:

3*(2*x + 3 ) = 5(x +4)

simplify:

6*x + 9 = 5x + 20

x = 11 (plug this into the original equation to verify)

Answer 3

(2n + 3)/(n + 4) = 5/3

Remember, if two fractions are equal, their cross product is equal.

5/7 = 15/21

5(21) = 15(7)

105 = 105

3(2n + 3) = 5(n + 4)

6n + 9 = 5n + 20

n = 11