Framing Of Equations

Framing the Equation: In mathematics framing the equations are technique here how to frame the given problems in mathematical form by translating mathematical
statements using symbols and literals. Look at the examples given below:

1. Mathematical statement: Amount (A) is equal to the sum of the Principal (P) and Interest I).
Formula: A = P + I

2. Mathematical statement: The area of the rectangle (A) is equal to the product of the length (L) and breadth (B) of the rectangle.
Formula: A = L x B

3. Mathematical statement: The sum of the three angles (∠x, ∠y, ∠z) of a triangle is equal to two right angles (2 × 90° = 180°).
Formula: ?x + ?y + ?z = 180°
∠ ∠ ∠
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4. Mathematical statement: One-fifth of a number subtracted from 5 gives 3.

Formula: 5 - x/5= 3

5. Mathematical statement: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the remaining two sides.
Here H denotes the hypotenuse and P, B denote the remaining two sides.
Formula: H<sup>² = P² + B²

Examples:1
One-fifth of the centigrade temperature is equal to one-ninth of the difference between Fahrenheit (F) temperature and 32.

Solution:
c/5= (f-32) / 9

Examples:2.
A rectangular box is of height h cm. Its length is 3 times its height and the breadth is 7 cm less than the length. Express the length, breadth and height.

Solution:
Let the length, breadth and height of the rectangle be L, B, H.
Length of the rectangle is 3 times the height.
So, Length of the rectangle = 3. Breadth of rectangle is 7 cm less than the length
So, Breadth of the rectangle = L - 7 but L = 3. So, Breadth of the rectangle in terms of height = 3h - 7</sup>