Question

Find three concscutive whole number whose sum is more than 45 but less then 54

• A. $16,20,18$
• B. $16,19,18$
• C. $15,17,18$
• D. $16,17,18$

Answer 1

The correct option is D $16,17,18$

Let consecutive whole number be $x,x+,x+2$

$\left(x\right)+(x+1)+(x+2)>45$ [Sum will be greater than 45]

$\Rightarrow 3x+3>45$

$\Rightarrow x>14$

$\left(x\right)+(x+1)+(x+2)<54$ [Sum will be less than 54 ]

$\Rightarrow 3x+3<54$

$\Rightarrow x<17$

So, $x$ will lie between $14$ and $17$

Take $x=16,x+1=17,$ and $x+2=18$

$16+17+18=51$

Sum of the above is lying between $45$ and $54.$

According to the option, $D$ will be the correct one i.e 16, 17, and 18 are the three consecutive whole numbers.