Question

In a test Abha gets twice the marks as that of Palak. Two times Abha’s marks and three times Palak’s marks make 280.

1. If Palak gets x marks, Abha gets ______ marks.
2. The equation formed is ______.
3. The solution of the equation is ______.
4. Marks obtained by Abha are ______.

Answer 1

1. If Palak gets x marks, Abha gets 2x marks.
2. The equation formed is 4x + 3x = 280.
3. The solution of the equation is 40.
4. Marks obtained by Abha are 80.

Explanation:

a. If Palak gets x marks, then Abha gets twice the marks as that of Palak, i.e. 2x.

b. Two times of Abha’s marks = 2(2x) = 2x and three times the Palak marks = 3(x) = 3x
Now, two times Abha’s marks and three times Palak’s marks make 280.

So, the equation formed is 4x + 3x = 280.

c. Solve the equation for x,

⇒ 4x + 3x = 280

⇒ 7x = 280

⇒ `(7x)/7 = 280/7`  ...[Dividing both sides by 7]

x = 40

Hence, the solution of the equation is 40.

d. Marks obtained by Abha are 2x, i.e. 2 × 40 = 80.