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Question

# Question 21 Fill in the blanks to make the statement true. 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 ...........

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Solution

## (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) = 4x 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⇒7x7=2807x=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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