Question

Sum of two numbers is 190 and their difference is 40 Find the ratio of larger and smaller number?
0.88402777778
0.51180555556
0.63819444444
0.96875​

Answer 1

Concept:

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Given:-

Sum of two numbers is 190 and their difference is 40.

Find:

Find the ratio of larger and smaller number?

Solution:-

Let the two numbers be X and Y

and X>Y

Sum of the two numbers=190

=>X+Y=190------(1)

Difference between the two numbers=40

=>X-Y=40-----(2)

adding (1)&(2) then

X+Y=190

X-Y=40

(+)

_________

2X+0=230

_________

=>2X=230

=>X=230/2

=>X=115

Substitute the value of X in (1) then

=>115+Y=190

=>Y=190-115

=>Y=75

We have X=115 and Y=75

Larger number=115

Smaller number=75

The ratio of larger number and smaller number

=>115:75

=>115/75

=>(5×23)/(5×15)

cancelling 5

=>23/15

23:15

Therefore,The larger number=115

The smaller number=75

the ratio of larger and smaller number =23:15 =1.5333

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