Question

In a class test, Veer scored 6 more than twice as many marks as Kevin scored. If one of them had scored 4 more marks, their total score would have been 40. Find the marks obtained by Veer and Kevin.

Hint:

Always check your final answers against the original word problem. Twice Kevin's marks (20) plus 6 is 26 (Veer's marks). Their sum (36) plus 4 is 40. The logic holds!

Answer 1

Step 1: Let the Marks be
Let Kevin’s marks = x
Let Veer’s marks = y

Step 2: Form First Equation
Veer scored 6 more than twice Kevin’s marks.

y = 2x + 6 …(1)

Step 3: Form Second Equation
If one of them scored 4 more marks, total becomes 40.

So total without extra marks:
x + y = 36 …(2)

Step 4: Substitute Equation (1) into (2)
x + (2x + 6) = 36
3x + 6 = 36
3x = 30
x = 10

Step 5: Find y
y = 2(10) + 6
y = 20 + 6
y = 26

Final Answer:
Kevin’s marks = 10
Veer’s marks = 26