The product of two numbers x and x + 170 can be simplified to be x + х.

Q: The product of the squares of a number and two more than a number is 225. Find all possible values…

A: Let the number be n According to the question, n2(n+2)2=225 ⇒n(n+2)=±225⇒n(n+2)=±15 Case 1 : When…

Q: he product of two whole numbers is 825 and their sum is 58 . What are the two numbers ?

A: make equations in two variable and solve  them

Q: The sum of two integers is 144. If their quotient is (7/5) , find the two integers.

A: Let the required numbers be x and y. It is given that the sum of the numbers is 144. x+y=144…

Q: Two integers differ by 4. If the sum of their squares is 170, determine the two integers.

A: The detailed solution is as follows below:

Q: When a number is multiplied by 4 before subtracting from 68, the result obtained is the same as…

A: Let the number of our interest be x. Let us see the first half of statement. The number is first…

Q: The difference between two numbers is 8. If one number is represented by x, the other number can be…

A:

Q: find the difference when the sum of  the first 100 positive odd integers is subtracted from the sum…

A: Topic  =Sequence and series

Q: A three digit number whose hundreds is twice the tens digit and the tens digit is 3 more than the…

A: GIVEN: A three-digit number whose hundreds is twice the tens digit and the tens digit is 3 more than…

Q: (メ 5.4 X-8ズー X-1

A: Let's find.

Q: If 1/2 is subtracted from a number and difference is multiplied by 4, the result is 5.find the…

A: If 1/2 is subtracted from a number and difference is multiplied by 4, the result is 5.find the…

Q: The sum of the squares of two consecutive positive odd integers is 74. What is the value of the…

A:

Q: The product of two whole numbers is 416 and their sum is 42. what are the two numbers ?

A:

Q: The sum of a digits of a two digit number is 8. If 18 is added to the number, the digits of the…

A: It is given that the sum of the first and the second digit of a two digit number is 8. We know that…

Q: A number consists of two digits whose sum is 5. If 9 is subtracted from the number the digits are…

A:

Q: If seven is subtracted from nine times a number, the difference is eight times the number. What is…

A: Given information: Consider x is the required number,  9x-7=8x

Q: If the difference when −15 is subtracted from x is twice the difference when 24 is subtracted from…

A: If the difference when −15 is subtracted from x is twice the difference when 24 is subtracted from…

Q: The product of a number and 8 is smaller than 7 less than a number

A: Let the number be x. Product of number and 8= 8x

Q: If a number is added to the numerator of 2/7, and twice the number is subtracted from the…

A: In this question we have to form mathematical expression with given condition and then solve for a…

Q: The sum of two positive numbers is 40. What are the numbers if their product is to be the largest. A…

A: let the two numbers be "x" and "y "x+y=40 → (1)F(x,y) = xyF(x)= x(40-x)F(x)=40x-x2differentiate…

Q: A number, x, increased by 3 is multiplied by the same number, x, increased by 4. What is the product…

A: When number X is increased by 3  We will get X+3 When number X is increased by 4 We will get X+4

Q: The sum of the digits of a two digit number is 12. If the digits are reversed the new number is 4/7…

A:

Q: The difference between two positive integers is 5. if the reciprocal of the smaller integer is added…

A: Given,      Differnce between two positive integer is 5Let two positive integer be x&y x-y=5…

Q: Explain how to solve x + x² = x + 1.

A:

Q: The sum of two integers multiplied by the sum of their squares is 3667, and their difference…

A:

Q: “The product of 5 and x + 3 equals 6” may be written as ______ .

A: We have to fill in the blanks: ''The product of 5 and x+3 equals 6'' may be written as _____ .…

Q: The product of two whole numbers is 546 and their sum is 47 . What are the two numbers ?

A:

Q: Which is a translation of "two times the difference of a number and 7"?

A:

Q: Split the number 750 into two numbers æ and y so that the sum of 8% of the first number and 24% of…

A: An equation is a statement in which two algebraic expressions are equal. If the equation is of the…

Q: If four is subtracted from nine times a number, the difference is eight times the number. What is…

A:

Q: The difference between two numbers is 8. If one number is represented by x, the other number can be…

A: Let two numbers be a and b assuming a is greater than b or a>b. Given that difference between two…

Q: The sum of the digits of a two-digit number is 10.  The number formed by reversing the digits is two…

A:

Q: The product of two whole numbers is 462 and their sum is 43. What are the two numbers?

A: Let assume that the two whole numbers are x and y.So according to the given informationxy = 462…

Q: The product of two numbers is 7. Determine the second factor if one is 6/5.

A:

Q: A two digit number is four times the sum and three times the product of it's digits .find the number

A: We can find the answer as below

Q: The product of two numbers is 98, and one of the numbers is n. What is the other number?

A: Given the product of two numbers is 98. One of the numbers is n. We have to find the other number.

Q: ind the product of two numbers whose sum is 11 and difference is 3

A: Here from the given information, first, we have to find two numbers whose sum is 11 and the…

Q: why can’t the sum of two numbers never be zero?

A:

Q: The average of two numbers is 2x. If one of the numbers is x + 3 , find the other number.

A: We know if average of two numbers = a, then total of these two numbers = 2a.

Q: The product of two consecutive positive odd integers is 399. The two integers are and Enter the…

A:

Q: The sum of the digits of a three-digit number is 12. When the hundreds and tens digits are…

A:

Q: The quotient of a number and seven, added to 25 is the same as twice that number

A:

Q: Find the two numbers whose sum is 23 and the difference of whose squares is 207.

A:

Q: The product of nine less than a number and two more than the same number.

A: The product of nine less than a number and two more than the same number

Q: The product of two numbers is 14/3. If one of the numbers is 49/2, what is the other number?

A:

Q: Solve for x. -3 -7 -96 8. 2+ x 2 3 x- 5 3. ||

A: Given, x-78x+2=10-33x-623x-5 now solve determinant of these square matrix,…

Q: The product of two consecutive negative integers is 600. What is the value of the lesser integer?

A: Consider two consecutive negative integer be -n and -(n+1), where n>0.

Q: The sum of the digits in a two-digit number is 8. When the digits are reversed, the new number is 18…

A: Given : Sum of the digits of a two-digit number =8 On reversing it's digits, the number is 18 less…

Q: If Anna and Tamera drive 5x - 5 hours over the four days and the plan to travel 4.5 hours each day…

A: