Answer:9Step-by-step explanation:let the number =xthen 4 times the number =4xand 4 times the number increased by 15 =4x+15also 6 times the number =6xand 3 less than 6 times the number =6x−3equating the two expressions gives the equation4x+15=6x−3←solve for xsubtract 6x from both sides4x−6x+15=6x−6x−3⇒−2x+15=−3subtract 15 from both sides−2x+15−15=−3−15⇒−2x=−18divide both sides by −2 −2x−2=−18−2⇒x=9As a check(4×9)+15=36+15=51(6×9)−3=54−3=51⇒the number is 9