Question

One pleasant morning, a number 'a' goes for a jog. Another number 'b' passes by 'a' and comments "I am four more than your half”. 'a' gets offended and starts shouting at 'b'. Now, both of them got into a big fight about their value and soon a big crowd gathered. A wise man, Krishna comes, looks at both the numbers, and says, "If you look closely, you are both equals.” 'a' and 'b' realised that the wise man was correct. What are the numbers 'a' and 'b'?

• A. $8,8$
• B. $8,4$
• C. $4,4$
• D. $8,10$

Answer 1

The correct option is A $8,8$

From the given information, $b=4+\frac{a}{2}$

The wise man Krishna said that both a and b are equal.
$So,a=b$

Hence subsituting in a = b in the first equation , we have
$a=4+\frac{a}{2}$
$a-\frac{a}{2}=4$
$\frac{a}{2}=4$
$a=8$

Since a = b $\therefore$ b = 8