Question

what is the largest two consecutive odd integers such that four times the larger reduced by the smaller is less than 100

Answer 1

4(x+2)-x<100
4x+8-x<100
3x+8<100
3x<100-8
3x<92
x<30.7
30+2=32 largest
checking 4*32-32<100
3*32<100, 96<100

Answer 2

$INEQUALITIES \\ \\ \\ Let \: the \: 2 \: consecutive \: numbers \: be \: \\ x \: \: \: \: and \: \: \: \: x + 2 \\ \\ According \: to \: the \: question \: \: , \: \\ \\ \\ 4 \: (x + 2) - x < 100 \\ \\ 4x + 8 - x < 100 \\ \\ 3x + 8 < 100 \\ \\ 3x < 92 \\ \\ x < \frac{92}{3} = 30.67 \\ \\ Largest \: value \: of \: x \: as \: a \: natural \: number \\ = 30 \\ \\ x + 2 = 32\\ \\ \\ Hence \: \: , \\ \\ The \: numbers \: are \: 30 \: and \: 32 \: \: \: \: \: \: Ans.$