Question

In a test, Tom gets twice the marks as that of Ram. Two times Tom's marks and three times Ram's marks make 280. Find the marks obtained by Tom.​

1

Answer 1

Step-by-step explanation:

Given :-

In a test, Tom gets twice the marks as that of Ram. Two times Tom's marks and three times Ram's marks make 280.

To find :-

Find the marks obtained by Tom.?

Solution :-

Let the marks got by Ram be X

The marks of Tom = twice the marks of Ram

=> 2×X

=> 2X marks

Given that

Two times Tom's marks and three times Ram's marks make 280.

=> 2(2X) +3(X) = 280

=> 4X+3X = 280

=> 7X = 280

=> X = 280/7

=> X = 40

Therefore, X = 40

The marks of Ram = 40 marks

The marks of Tom = 2(40) = 80 marks

Answer:-

The marks obtained by Tom = 80 marks

Check:-

Marks of Ram = 40 marks

Marks of Tom = 80 marks

=> 2×40

=> Twice the marks of Ram

Two times Tom's marks and three times Ram's marks

=> 2(80)+3(40)

=> 160+120

=> 280 marks

Verified the given relations in the given problem.

Answer 2

Answer:

80

Step-by-step explanation:

Let the marks obtained by Tom be x

And that of Ram be y

According. to Question

x=2y -----------------(1)

2x+3y = 280 ------------(2)

By putting eq. (1) in (2) we get,

2(2y) +3y =280

=>4y +3y =280

=> 7y=280

or y= 280/7

=> y=40

By substituting y=40 in eq.(1) we obtain,

x=2×40= 80

Hence, total marks obtained by Tom =80