# Math

Question: 1 The product of two positive numbers is 15876 and the large one is 9 times the other. Find the numbers.
Question:2
Th sum of the squares of two positive whole numbers is 794. If one of the numbers is 13 , find the other.

1. 👍
2. 👎
3. 👁
1. x y = 15876
y = 9 x
so
9 x^2 = 15876
x^2 = 1764
x = 42
===================
169 + x^2 = 794
x^2 = 625
x = 25

1. 👍
2. 👎
2. 1 .

a = first number

b = second number

The large one is 9 times the other.

This mean :

b = 9 a

a * b = 15876

a * 9 a = 15876

9 a ^ 2 = 15876 Divide both sides by 9

a ^ 2 = 15876 / 9

a ^ 2 = 1764

a = sqroot ( 1764 )

a = 42

b = 9 a = 9 * 42 = 3789

2.

a = first number

b = second number ( In this case b = 13 )

The sum of the squares of two positive whole numbers is 794.

This mean :

a ^ 2 + b ^ 2 = 794

a ^ 2 + 13 ^ 2 = 794

a ^ 2 + 169 = 794 Subtract 169 to both sides,

a ^ 2 + 169 - 169 = 794 - 169

a ^ 2 = 625

a = sqroot ( 625 ) = 25

1. 👍
2. 👎
3. This is too good service to provide us

Thanks for a provide a good maths

1. 👍
2. 👎
4. Yi+5455=54

1. 👍
2. 👎
5. 15

1. 👍
2. 👎
6. Very good explanation.

1. 👍
2. 👎

## Similar Questions

1. ### math

Can someone help me with prime and composite numbers? Prime numbers are counting numbers that can be divided evenly bt only two numbers:1 and themselves. A prime number can also be described as a counting number with exactly two

2. ### math

Find two positive numbers such that the sum of the first and twice the second is 100 and their product is a maximum.

3. ### Maths

find two positive real numbers x and y such that their product is 800 and x+2y is as small as possible

4. ### calculus

find two positive integers such that the sum of the first number and 4 times the second number is 1000 and the product of the numbers is as large as possible

1. ### mathematics

Find two positive numbers whose product is 81 and whose sum is a minimum. (If both values are the same number, enter it into both blanks.)

2. ### calculus

Two positive numbers have a sum of 60. what is the maximum product of one number times the square of the second number? a) 3481 b) 3600 c) 27,000 d) 32,000 e) 36,000 So Idk if this is right, but I have .... x+y=60 p=xy^2

3. ### calculus

Find two positive numbers whose product is 100 and whose sum is a minimum.

4. ### math

Complete each statement to identify the sign. Part A The sign of the product of two negative numbers is A. positive. B. negative. Part B The sign of the quotient of numbers with opposite signs is A. positive B. negative.

1. ### Geometry

Find one counterexample to show that each conjecture is false. The product of two positive numbers is greater than either number.

2. ### Geometry

Working on conjectures. The question is Conjecure: The product of any two odd numbers is _____? It shows several examples of odd numbers x odd numbers and the products are all odd. So I think the right answer is "odd numbers" but

3. ### calculus

The sum of two positive numbers is 100. Let one of the numbers be x and express the product P of the two numbers as a function of x.

4. ### Math

Express the number 25 as a sum of two nonnegative numbers whose product is as large as possible.