Question

Amit scored 10 marks less than Joseph in an examination. Ali scored 15 marks more than joseph. In total they scored 245 marks. What was Amit’s score?

Answer 1

Hint:
As we know in our question it is given that Amit’s scored 10 marks less than Joseph. It means Amit score is equal to Joseph Score minus 10 . Let’s take a variable x for joseph marks and Amit marks is x-10. Ali marks is 15 more than joseph so the linear equation for it is +15 . Hence for total marks you have to add marks of all Amit’s, Joseph and Ali.

Complete step by step solution:
Suppose Joseph marks in examination is x
Step 1: let’s start as we know marks obtained by Amit is 10 less than Joseph marks so linear equation is
  = $x - 10$
 Secondly, marks obtained by Ali are 15 more than Joseph marks. Hence linear equation for it is
   = $x + 15$
  Step 2: Let's move toward second part of this question Total marks obtained by Ali, Amit and Joseph is
\[\begin{array}{l}
 & = x - 10 + x + x + 15\\
 & = 3x + 5\\
3x + 5 & = 245\\
\,\,\,\,\,\,\,\,3x & = 240\\
\,\,\,\,\,\,\,\,\,\,\,\,x & = 80
\end{array}\]
Hence marks obtained by Joseph are 80 and marks obtained by Amit are 70.
Marks obtained by Amit’s is 70

Note:
In this type of you must know how to frame linear equations from word problems. Special attention must give on more than or less than. In case of more than you always add and in case of less than you always subtract. For making mathematical equations you have to suppose some variable like x, y, z.