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 $280$.

(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 _______.

Answer 1

Step 1: Explanation for the part $a$.

Since, it is given that the marks of Abha is twice the marks of Palak.

Therefore, if Palak get $x$ marks, Abha gets $2x$ marks.

Step 2: Explanation for the part $b$.

Since, it is given the sum of two times Abha's marks and three times Palak's marks are equal to $280$.

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

Step 3: Explanation for the part $c$.

Since, the equation is $4x+3x=280$

$$\begin{gathered} \Rightarrow 7x=280 \\ \Rightarrow x=40 \end{gathered}$$

Therefore, the solution of the equation is $x=40$.

Step $4:$ Explanation for the part $d$.

Since, Abha gets $2x$ marks.

Therefore, Marks obtained by Abha are $80$.