Respuesta :

Three times the sum of a number and 2 is the same as three-fifths of the sum of the same number and 22.what is the number?

Let

x -----> the number

so

Three times the sum of a number and 2 -------> 3*(x+2)

three-fifths of the sum of the same number and 22 -----> (3/5)*(x+22)

therefore

3*(x+2)=(3/5)*(x+22)

solve for x

5*(x+2)=x+22

5x+10=x+22

5x-x=22-10

4x=12

x=3

the number is 3