Question

The larger of two consecutive ODD numbers is one less than twice the smaller number. Find the larger of the two numbers.

Answer 1

5

Explanation:

z - any integer

2z+1 - any odd integer (the smaller one)

2z+1+2 = 2z+3 - odd integer consecutive to 2z+1 (the larger one)

2(2z+1) - twice the smaller number

2(2z+1) - 1 - one less than twice the smaller number

2(2z+1) - 1 = 2z + 3

4z + 2 - 1 = 2z + 3

2z = 2

z = 1

2z+3 = 2•1+3 = 5

check:

2z+1 = 2•1+1 = 3,

2(2z+1)-1 = 2(2•1+1)-1 = 2•3-1 = 5 = 2z+3