what are the integers?

Question

If Five times the lesser of two consecutive integers is added to three times the greater, the result is 59. What are the integers?

Answer 1

Let x and x+1 be the two consecutive integers.

• If five times the lesser of two consecutive integers:  5x
• is added to three times the greater: 5x + 3(x+1)
•  the result is 59: 5x + 3(x+1) = 59

 

5x + 3(x+1) = 59

 

5x + 3x + 3 = 59

 

8x = 56

 

x = 7

 

So x+1 = 8

 

Check:

5x + 3(x+1) = 59

5*7 + 3*8 = 59

35 + 24 = 59

59 = 59

Check!