Question

The product of two consecutive numbers is 1190. What are the two numbers and what is their sum?
The smallest number =

The largest number =

The sum of the numbers =

Answer 1

Step-by-step explanation:

let, the consecutive number = x,x+1

By given condition,

x(x+1) = 1190

x(x+1) = 34 × 35

x(x+1) = 34(34+1)

there fore 'x' = 34

then the two consecutive number

are 34,35

smallest number = 34

largest number = 35

sum of two numbers = 34+35 =69

Answer 2

The smallest number = 34.

The largest number = 35.

The sum of the numbers = 69.

• A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Finding the values of the variables that result in the equality is the first step in solving an equation with variables.
• The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfil the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.

Here, according to the given information, we are given that,

The product of two consecutive numbers is 1190.

Let the two number be x and (x+1).

Then, we have,

$x(x+1) = 1190.$

Or, $x^{2} +x - 1190 = 0.$

Or, $(x-34)(x+35)=0.$

Then, we have x = 34.

Then, the next number is, 34 + 1 = 35.

Then, the sum of the numbers = $34+35 = 69.$

Hence, the smallest number = 34.

The largest number = 35.

The sum of the numbers = 69.

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