Question

# The sum of two numbers is 52 and their difference is 20. find the numbers?

Hint:

### let the two number be x and y where y > x

Given sum of = 52(i.e x + y =52)

Given difference = 20 (i.e y -x = 20)

## The correct answer is: 16 and 36

### Ans :- 16 and 36 are the numbers

Explanation :-

Step 1:-Frame the system of linear equations based on the

let the two number be x and y where y > x

Given sum of = 52

x + y =52 — Eq1

Given difference = 20

Difference is bigger number y - smaller number x = 20

y = x = 20 — Eq2

Step 2:- eliminate the x and find y

Doing Eq2 +Eq1 to eliminate x .

∴y = 36

Step 3:- find x by substituting the value of y in eq1.

∴x = 16

∴16 and 36 are the numbers which satisfy the given conditions.

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Which of the following is true about the standard deviations of the two data sets in the table above?

**Note:**

We could also calculate the standard deviation for both the data sets

The formula for standard deviation is

Where,

= standard deviation

= total number of terms

= terms given in the data

= mean

After finding both the standard deviations, we can compare them. This is a tedious task and needs precision.

Which of the following is true about the standard deviations of the two data sets in the table above?

**Note:**

We could also calculate the standard deviation for both the data sets

The formula for standard deviation is

Where,

= standard deviation

= total number of terms

= terms given in the data

= mean

After finding both the standard deviations, we can compare them. This is a tedious task and needs precision.