Translate the following sentences into a equation, then solve the equation.

"one number is 5 less than another. twice the greater number is three times the lesser number"

Step-by-step explanation:

Let the two numbers be x and y

x = y - 5 ... (1)

2y = 3x ... (2)

Putting (1) into (2)

2y = 3 (y - 5)

2y = 3y - 15

Collecting like terms

2y - 3y = - 15

-y = - 15

y = 15

Putting y = 15 in (1)

x = y - 5

x = 15 - 5

x = 60