Question

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 get 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

a. Find the marks
Given: Marks obtained by Palak $=x$
Abha gets twice the marks as that of Palak.
So. marks obtained by Abha $=2x$
Hence Abha gets $2x$ marks.

b. Find the equation
Two times Abha's marks and three times Palak's markes make 280.
So. $2\times 2x+3\times x=280$
$\Rightarrow 4x+3x=280$
Hence the equation formed is $4x+3x=280.$

c. Find the solution
$4x+3x=280$
$\Rightarrow 7x=280$
$\Rightarrow x=\frac{280}{7}$
$\Rightarrow x=40$
Hence, the solution of the equation is $40$.

d. Find the marks obtained by Abha
Marks obtained by Palak $=x$
$=40$
Marks obtained by Abha $=2x$
$=2\times 40$
$=80$
Hence, marks obtained by Abha is 80.