40.1k views
4 votes
Three consecutive whole numbers are such that if they be divided by 5,3 and 4 respectively, the sum of the quotient is 40. What are the numbers?

User Crixo
by
7.0k points

1 Answer

5 votes

(x)/(5)+(x+1)/(3)+(x+2)/(4)=40\\ 12x+20(x+1)+15(x+2)=2400\\ 12x+20x+20+15x+30=2400\\ 47x=2350\\ x=50\\ x+1=51\\ x+2=52

Then umbers are 50,51,52
User Cozimetzer
by
7.8k points