Question

of them receive!
14. In an examination Ritu got 5 marks less than Priyanka. If the sum of their marks is 171, find their individual Mark's.
​

Answer 1

• Lets consider Priyanka's marks as x
• And Ritu's marks as (x-5)

Here we have taken the marks of Ritu as (x-5) because it is mentioned in the question that whatever marks Priyanka got ; Ritu will get 5 less than that .

In given conditions we have considered Priyanka's marks as x and 5 less than x can be written as (x-5)

Then we are told that the sum of their marks is 171 . So ; we will try to add both the marks namely x and (x-5) and equate them to 171 . Then add the like terms and simplify .

All the above steps in mathematical operations would be :

➜ x + (x-5) = 171

➜ x + x - 5 = 171

➜ 2x - 5 = 171

➜ 2x = 171 + 5

➜ 2x = 176

➜ x = 176/2

➜ x = 88

If we remember Priyanka's marks was considered as x and here we have found the value of x which means Priyanka's marks = 88 .

According to the second part of the question ; Ritu got 5 marks less than Priyanka . Meaning subtracting 5 frim Priyanka's marks. 88 - 5 = 83 .

So Ritu got 83 marks .

Answer 2

Answer:

Priyanka's marks = 88

Ritu's marks = 83

Explanation:

Let as assume that the marks obtained by Priyanka in the examination be x.

It is given that,

Ritu got 5 marks less than Priyanka in the examination. That is, Ritu's marks be (x - 5).

Also,

The sum of the marks of ritu and Priyanka is given as 171.

Here we go ;

$\sf \implies x + (x - 5) = 171$

$\sf \implies x + x - 5 =171$

$\sf \implies 2x - 5 = 171$

$\sf \implies 2x = 171 + 5$

$\sf \implies 2x = 176$

$\sf \implies x = \dfrac{176}{2}$

$\boxed{\bf \therefore x = 88}$

Thus, the marks obtained by Priyanka is 88. Now, Ritu got 5 marks less than Priyanka.

$\sf \implies$ Ritu's marks = x - 5

$\sf \implies$ Ritu's marks = 88 - 5

$\sf \implies$ Ritu's marks = 83.

Therefore, the marks of Priyanka and Ritu are 88 and 83 respectively.