# 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. 👍 4
2. 👎 4
3. 👁 3,192
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. 👍 6
2. 👎 3
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
2. 👎 1
3. This is too good service to provide us

Thanks for a provide a good maths

1. 👍 3
2. 👎 1
4. Yi+5455=54

1. 👍 0
2. 👎 2
5. 15

1. 👍 1
2. 👎 1
6. Very good explanation.

1. 👍 2
2. 👎 0

## Similar Questions

1. ### math

the sum of two numbers exceeds their product by one. their differences is equal to their product less five . find the two numbers

asked by seraphine on December 3, 2015
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

asked by Jenny on December 14, 2010
3. ### Math

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

asked by Sandhya on June 21, 2011
4. ### Physics

(a) Find the electric field at x = 5.00 cm in Figure 18.52(a), given that q = 1.00X10^-6;C . (b) At what position between 3.00 and 8.00 cm is the total electric field the same as that for –2q alone? (c) Can the electric field be

asked by Elizabeth on August 8, 2016
5. ### math

the product of two positive numbers is 9 18/25 and one of them is three times the other. find the numbers.

asked by shahida on August 3, 2010
1. ### algebra

Are the following true or false? 1. The difference of two natural numbers is always a natural number. 2. The sum of two natural numbers is always a natural number. 3. The quotient of two natural numbers is always a natural number.

asked by Bill on September 7, 2010
2. ### statistics

supposed that two balanced dice are rolled. let Y denote the product of the two numbers. use random variable notation to represent the event that the product of the two numbers is greater than 4 a {5,6} b {XY>4} c{Y>4} d P(Y>4)

asked by A on October 7, 2015
3. ### maths

the sum of N positive integers is 19. what is the maximum possible product of these N numbers? thx. Nice problem. Let's look at some cases 1. N=2 clearly our only logical choices are 9,10 for a product of 90 It should be obvious

asked by Jarin on July 22, 2007
4. ### Math - Quadratic Equations

Two consecutive even numbers have a product of 288. What are the numbers? The answer I got through trial and error was 18 and 16. Is there a way for me to form the question into an equation and work that out to find the answer,

asked by Anonymous on March 31, 2017
5. ### math

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

asked by anon on November 12, 2015