Answer
Verified
445.5k+ views
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.
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.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Which are the Top 10 Largest Countries of the World?
One cusec is equal to how many liters class 8 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
The mountain range which stretches from Gujarat in class 10 social science CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths