Question

The three consecutive numbers that we should start with to get 100 on the top are

• A. 30, 31 and 32
• B. 23, 24 and 25
• C. 24, 25 and 26

Answer 1

The correct option is C 24, 25 and 26

Let three consecutive number in the bottom row be $x$, $x+1$ and $x+2$.

Adding adjacent cells in the bottom row, we get

$x+(x+1)=2x+1$ …..(1)

Similarly,

$(x+1)+(x+2)=2x+3$ ……(2)

Adding (1) and (2) for the top most cell, we get

$(2x+1)+(2x+3)=4x+4$

Now we know that $4x+4=100$.

$\Rightarrow 4x=300-4$

$\Rightarrow 4x=96$

$\Rightarrow x=\frac{96}{4}=24$

$\Rightarrow x+1=24+1=25$

$\Rightarrow x+2=24+2=26$

Therefore, the three consecutive numbers are 24, 25 and 26.