Question

Two consecutive even integers are such that their sun is greater than 98 decreased by twice the larger. Find the smallest possible values for the integers

Answer 1

let the first integer be x, the second is then x+2
sum: x+(x+2)=2x+2
twice the larger one: 2(x+2)
2x+2>98-2(x+2)
2x+2>-2x+94
4x>92
x>23
The smallest possible even integer larger than 23 is 24, and the second even integer is 26