Introduction to equation as relations solver:

In this article Equation as relations solver, we will solve the equation which is formed by some relation. Let us see how to make the equation with given statement and how to solve the equation. Generally the algebraic equation constitutes  of variables and expressions and we have to solve the equation to find the solution. Let us solve some example problems for equation as relations solver.


Example problems for equation as relations solver:


Example problem 1 - Equation as relations solver

A number is eight more than another, sum of the smallest integer and five times the greatest is 70.What is the greatest integer?

Solution:

Consider Smallest number x

Greatest number x+8

x+5(x+8) =70

x+5x+40=70

6x=30

x=5

Smallest number x=5

Greatest number x+8=13

Example problem 2 - Equation as relations solver

The perimeter of a rectangle is given by 58 m and the length is nine more than three times the breadth find out the breadth?

Given:

Perimeter=58 m

l=3b+9

Solution:

Perimeter of a rectangle=2(l+b)

2(3b+9+b)=58

2(4b+9)=58

8b+18 = 58

8b=40

b=5 m

Example problem 3 - Equation as relations solver


The price of one pencil and note book is $15 then what is the price of 5 pencil and 5 note book?

Solution:

Consider pencil as x

Note book as y

So from the given statement x+y=15-------1

The price of 5 pencil and 5 note book=5x+5y=?

We can write the above equation as

The price of 5 pencil and 5 note book =5(x+y)

From the first equation we can substitute the x+y value

The price of 5 pencil and 5 note book =5(x+y)

=5(15)=75

The price of 5 pencil and 5 note book =$75

Example problem 4 - Equation as relations solver

The ages of John and Krithick differ by 12 years when comparing. If 3 years ago, the elder one be 5 times as old as the younger boy, find their present ages.

Solution:

Consider the age of the John be x years.
The age of the Krithick = (x + 12) years.
:. 5 (x - 3) = (x + 12 - 3)

5x-15=x+12-3

4x=15+12-3

4x=27-3

4x=24

x=6

John present age is 6 years

Krithick present age is 18 years