Answer

Verified

409.2k+ views

**Hint:**In this type of question we will simply proceed according to the given statement. Here we need to find the lowest score so we will let it be a variable. Then we must know that thrice of the number means that we have to do it three times. Similarly twice of the number is two times of that number. For example: If we have the number $x$ then thrice that number will be $3x$ and twice that number will be $2x$. In this way we will convert the statement in the equation form and solve it to get the required result.

**Complete step-by-step answer:**Here we are given that the highest mark obtained by a student is $9$ more than thrice the lowest mark.

So first of all we need to know what thrice of the number means. Here we must know that thrice of the number means that we have to do it three times. Similarly twice of the number is two times of that number. For example: If we have the number $x$ then thrice that number will be $3x$ and twice that number will be $2x$. In this way we will convert the statement in the equation form and solve it to get the required result.

So let the lowest marks to be found be $y$

Thrice of the lowest marks $ = 3y$

And we are told that highest mark is $9$ more than the thrice of the lowest marks which means

${\text{highest marks}} = 3y + 9$$ - - - - (1)$

Also we know that the highest mark is $90$

Putting its value in the equation (1) we get that

$90 = 3y + 9$

$\Rightarrow$ $3y = 90 - 9$

$\Rightarrow$ $3y = 81$

$\Rightarrow$ $y = 27$

**So we get that the lowest marks$ = 27$**

**Note:**Here in this type of question we must know what thrice and twice of the number means. We must have the practice of the questions where we need to convert the statement into the equation form and then we can easily solve such types of problems.

For example: If we are given that twice of the number $x$ is $40$ it means that $2x = 40$

Recently Updated Pages

What number is 20 of 400 class 8 maths CBSE

Which one of the following numbers is completely divisible class 8 maths CBSE

What number is 78 of 50 A 32 B 35 C 36 D 39 E 41 class 8 maths CBSE

How many integers are there between 10 and 2 and how class 8 maths CBSE

The 3 is what percent of 12 class 8 maths CBSE

Find the circumference of the circle having radius class 8 maths CBSE

Trending doubts

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

In 1946 the Interim Government was formed under a Sardar class 11 sst CBSE

10 examples of law on inertia in our daily life

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE