Question

divide rs.1,600 between A,B and c, so that B may have rs.100 more than A and C rs.200 more than B.​

Answer 1

Concept Used :-

Formulation of Linear Equation from Word Problem

1. Understand the problem.

• Understand all the words used in stating the problem.

• Understand what you are asked to find.

2. Translate the problem to an equation.

• Assign a variable (or variables) to represent the unknown.

• Clearly state what the variable represents.

3. Carry out the plan and solve the problem.

$\huge\underline{\sf{Solution-}}$

Given that,

• Share of B is Rs 100 more than A

and

• Share of C is Rs 200 more than B

Let assume that,

• Share of A = Rs x

So,

• Share of B = Rs ( x + 100 )

and

• Share of C = Rs ( x + 300 )

Thus,

$\begin{gathered}\begin{gathered}\bf\: Share \: of \: -\begin{cases} &\sf{A \: = \: x} \\ &\sf{B \: = \: x + 100}\\ &\sf{C \: = \: x + 300} \end{cases}\end{gathered}\end{gathered}$

According to statement,

• Total Share of Amount = Rs 1600

$\rm :\longmapsto\:x + x + 100 + x + 300 = 1600$

$\rm :\longmapsto\:3x + 400 = 1600$

$\rm :\longmapsto\:3x = 1600 - 400$

$\rm :\longmapsto\:3x = 1200$

$\rm :\implies\:x = 400$

Hence,

$\begin{gathered}\begin{gathered}\bf\: Share \: of \: -\begin{cases} &\sf{A \: = \: Rs \: 400} \\ &\sf{B \: = Rs \:500}\\ &\sf{C \: =Rs \: 700} \end{cases}\end{gathered}\end{gathered}$

Answer 2

Answer:

solved as above

please mark it as brainlist answer