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प्रश्न
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.
- If Palak gets x marks, Abha gets ______ marks.
- The equation formed is ______.
- The solution of the equation is ______.
- Marks obtained by Abha are ______.
उत्तर
- If Palak gets x marks, Abha gets 2x marks.
- The equation formed is 4x + 3x = 280.
- The solution of the equation is 40.
- 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) = Ax 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.
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