Question

Three times the the greater of two consecutive odd integers is five less than four times the smaller.find the two numbers.

Answer 1

Let x = first odd integer (smaller)

x+2 = second odd integer (larger)

3(x+2) = 4x-5

3x+ 6 = 4x -5

6+5=4x-3x

11=x

x=11

x+2= 13.

Smaller = 11, Larger = 13.

Answer 2

let one consecutive odd integer = x

another consecutive odd integer =x+2

x+2>x

according to statement

3(x+2)= 4x-5

3x+6=4x-5

6+5=4x-3x

11=x

smallest consecutive odd no = 11

largest consecutive odd no. = 11+2 =13

hope it helps u