the sum of two consecutive whole numbers is 57. What is the value of the greater of the two numbers?

Answer 1

Greetings! Lets solve this shall we ?

Let the two consecutive numbers be

x = smaller number and

(x+1) = larger number

and let the sum of these two numbers be equal to 57 such that

x + (x+1) = 57...............We must solve for x to obtain the two numbers. Then adding like terms gives us

2x + 1 = 57...............Subtract 1 to get

2x = 56 ...............Then divide 2 to get

x = 28 .............Then we plug x into the larger number to get

(x+1) = (28+1) => 29 = larger number

I hope this helped!

Answer 2

n + (n+1) = 57

2n +1 = 57

2n = 56

n = 28

The larger number is n+1 or 28+1 making it 29.