## Equations

Equations also is one of the topics of Scholarship aptitude test in which mostly students need to solve word problems by using simple and simultaneous eq. (Here, Eq. = Equation)

Simple Eq. and Simultaneous Eq.

A simple eq. is an eq. in a single variable,whose value should be determined
Problem:1

Solve: (5x/12)-(3/8)=(1/2)

Solution:

(5x/12)=(1/2)+(3/8)

x = (7/8) X (12/5)

x = 21/10

x = 2.1

Problem:2

Find a number such that the difference between nine times the number and four times the number is 55

Solution:

Let the number be "x"

from the given information, we have

9x-4x = 55

5x = 55

x = 11

Therefore, the number is 11

Problem:3

If A gives B \$4.B will have twice as much as A.If B gives A \$15, A is having ten times as much as B. How much does each have original?

Solution:

Let the original amounts with A and B be "x" dollars and "y" dollars respectively.

case(i):

A gives \$4 to B

Then A will have (x-4)

B will have (y+4)

Given, y+4 = 2(x-4)
y+4 = 2x-8
0 = 2x-8-y-4
0 = 2x-y-12
12 = 2x-y
or 2x-y = 12 ---------(1)

case(ii):

If B gives \$15 to A

Then B will have (y-15)

A will have (x+15)

Given, x+15 = 10(y-15)
x+15 = 10y-150
x-10y =-150-15
x-10y =-165--------(2)

(1)X10===> 20x-10y = 120--------(3)

(3)-(2)====> 19x = 285

x = 285/19

x = 15

Plug x=15 in eq.(1)

2(15)-y = 12

30-y = 12

30-12 = y

18 = y

A originally has \$15
B originally has \$18

Equation is being used to solve word problems in any topic of math, and particularly in Scholarship aptitude test. Sometimes it would be difficult to solve word problems in math and also in scholarship aptitude test. In order to make that process easy, we can use equation. Because, by using equation, any difficult word problem can be solved easily.

### Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life. They are:

It subtracts sadness and adds happiness in our life.

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”

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