Question

Study the pattern and solve it by giving an explanation.

$4812=14,62430=6,278=?$.

Answer 1

We have to study the pattern first and then solve the last part based on that pattern.

In the first case, $4812=14$

The sum of all numbers written in $\mathrm{L}.\mathrm{H}.\mathrm{S}=4+8+12=24$

Now, we observe that, $\mathrm{R}.\mathrm{H}.\mathrm{S}\left(14\right)=2\times 4+2+4$

$\Rightarrow \mathrm{R}.\mathrm{H}.\mathrm{S}=$ product of digits $+$sum of digits.

Similarly on the same pattern in the second case, $62430=6$

The sum of numbers, $6+24+30=60$

Now, in $60$, the sum of digits $+$product of digits $=6+0+6\times 0=6$

So, by using same pattern, in the third case $278=?$ , we have

Sum of numbers $=2+7+8=17$

Now, sum of digits $+$ product of digits $=1+7+1\times 7=15$.

Hence, the required answer is $15$.