Question

If the whale fish is $10\,m$ longer than a shark fish, then what is the length of the whale if the shark is $150\,m$ long?
A. $150\,m$
B. $160\,m$
C. $135\,m$
D. $145\,m$

Answer 1

Hint: In order to solve this question, first we will assume the length of the shark fish and the whale fish be a certain variable. Then according to the statement given in the question, we will form two equations. Then on putting the value of one equation in the other, we get the required solution.

Complete step by step answer:
Let us consider the length of the whale fish to be \[x\] and let the length of the shark fish be $y$. In this question, we are given that the length of the whale fish is \[10\,m\] longer than the length of the shark fish. So, the length of the whale fish will be \[10\,m\] longer than $y$. So, we can write that,
$x = y + 10.......(1)$

We are also given that the length of the shark fish is $150\,m$. So, we can write that,
$y = 150\,m.....(2)$
On putting the value of the length of the shark fish from equation (1) in the equation (2), we get,
$x = 150 + 10$
$\therefore x = 160\,m$
Thus, the length of the whale fish is $160\,m$.

Therefore, the correct answer is option $(B)$.

Note: In this particular question we have formed the equation, by taking the length of the whale fish to be \[10m\] longer than the length of the shark fish. But this question or any other similar question can be solved easily, by taking the length of shark fish to be \[10\,m\] shorter than the length of the whale fish. In both situations, the answer would remain the same.