Question

5625 টাকা A,B,C এর মধ্যে এমন ভাবে ভাগ করা হল জাতে A একা B ও C এর অর্ধেক পায়, এবং B পায় A ও C এর 1/4 অংশ, B অপেক্ষা A কত টাকা বেশি পায় ?
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Answer 1

A gets 750/- more than B.

• In mathematics, linear equations are those in which the variable's maximum power is one. A straight line is the only possible solution to a linear equation. Thus, a system of two linear equations in two or three variables that are solved simultaneously to arrive at a shared solution is known as a simultaneous linear equation.
• Substitution, elimination, and graphical approaches are the three main ways to solve simultaneous linear equations.

Here, according to the given information, we are given that,

5625/- is distributed among A, B and C. Let the amounts received by A, B and C be x, y and z respectively.

Now, according to the problem, x = $\frac{y+z}{2}$.

Also, we are given that, y = $\frac{x+z}{4}$.

Now, 2x = y + z.

Also, 4y = x + z.

Subtracting one equation from another, we get,

2x - 4y = y - x

Or, 3x = 5y

Or, x = $\frac{5}{3}$y.

Now, putting these values in 2x = y + z, we get,

$\frac{10y}{3} -y =z$

Or, 7y = 3z

Again, x + y + z = 5625

Or, $\frac{5y}{3} +y+\frac{7y}{3} = 5625$

Or, 5y = 5625

Or, y = 1125

Then, A gets, $\frac{5.1125}{3} = 1875.$

Now, A gets $(1875 - 1125) = 750/-$ more than B.

Hence, A gets 750/- more than B.

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