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
(a) If Palak gets x marks, Abha gets _____ marks
(b) The equation formed is _____
(c) The solution of the equation is _____
(d) Marks obtained by Abha are _____
Solution:
Let Palak gets x marks
Then Abha gets 2x marks
A/Q,
2(2x) + 3(x) = 280
4x + 3x = 280
7x = 280
x = 280/7
x = 40
Hence 2x = 80
Thus,
(a) If Palak gets x marks, Abha gets 2x marks.
(b) The equation formed is 4x + 3x = 280.
(c) The solution of the equation is 40.
(d) Marks obtained by Abha are 80.
✦ Try This: In a test Asha gets twice the marks as that of Payal. Two times Asha's marks and three times Payal's marks make 315. (a) If Payal gets x marks, Asha gets _____ marks, (b) The equation formed is _____, (c) The solution of the equation is _____, (d) Marks obtained by Asha are _____.
Let Payal gets x marks
Then Asha gets 3x marks
A/Q,
2(3x) + 3(x) = 315
6x + 3x = 315
9x = 315
x = 315/9
x = 35
Hence 3x = 105
Thus,
(a) If Palak gets x marks, Asha gets 3x marks.
(b) The equation formed is 6x + 3x = 315.
(c) The solution of the equation is 35.
(d) Marks obtained by Asha are 105.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 4
NCERT Exemplar Class 7 Maths Chapter 4 Problem 21
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. (a) If Palak gets x marks, Abha gets _____ marks, (b) The equation formed is _____, (c) The solution of the equation is _____, (d) Marks obtained by Abha are _____
Summary:
(a) If Palak gets x marks, Abha gets 2x marks, (b) The equation formed is 4x + 3x = 280, (c) The solution of the equation is 40, (d) Marks obtained by Abha are 80
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