QuestionFind the smaller number if the bigger number is 35 more than it and their sum is 143.

Studdy Solution

STEP 1

Assumptions1. We have two numbers a smaller number and a bigger number. The bigger number is35 more than the smaller number3. The sum of the two numbers is143

STEP 2

Let's denote the smaller number as x. Then, the bigger number can be expressed as x +35, because it is35 more than the smaller number.

STEP 3

We know that the sum of the two numbers is143. So we can set up the following equation $x + (x +35) =143$

STEP 4

implify the equation by combining like terms.
$2x +35 =143$

STEP 5

Next, we need to isolate x. We can do this by subtracting35 from both sides of the equation.
$2x =143 -35$

STEP 6

Perform the subtraction operation on the right side of the equation.
$2x =108$

STEP 7

Finally, to find the value of x, divide both sides of the equation by2.
$x =108 /2$

STEP 8

Perform the division operation to find the value of x.
$x =54$ So, the smaller number is54.

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QuestionFind the smaller number if the bigger number is 35 more than it and their sum is 143.

Studdy Solution

STEP 1

Assumptions1. We have two numbers a smaller number and a bigger number. The bigger number is35 more than the smaller number3. The sum of the two numbers is143

STEP 2

Let's denote the smaller number as x. Then, the bigger number can be expressed as x +35, because it is35 more than the smaller number.

STEP 3

We know that the sum of the two numbers is143. So we can set up the following equation $x + (x +35) =143$

STEP 4

implify the equation by combining like terms.
$2x +35 =143$

STEP 5

Next, we need to isolate x. We can do this by subtracting35 from both sides of the equation.
$2x =143 -35$

STEP 6

Perform the subtraction operation on the right side of the equation.
$2x =108$

STEP 7

Finally, to find the value of x, divide both sides of the equation by2.
$x =108 /2$

STEP 8

Perform the division operation to find the value of x.
$x =54$ So, the smaller number is54.

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QuestionFind the smaller number if the bigger number is 35 more than it and their sum is 143.

Studdy Solution

STEP 1

Assumptions1. We have two numbers a smaller number and a bigger number. The bigger number is35 more than the smaller number3. The sum of the two numbers is143

STEP 2

Let's denote the smaller number as x. Then, the bigger number can be expressed as x +35, because it is35 more than the smaller number.

STEP 3

We know that the sum of the two numbers is143. So we can set up the following equationx+(x+35)=143x + (x +35) =143x+(x+35)=143

STEP 4

implify the equation by combining like terms.2x+35=1432x +35 =1432x+35=143

STEP 5

Next, we need to isolate x. We can do this by subtracting35 from both sides of the equation.2x=143−352x =143 -352x=143−35

STEP 6

Perform the subtraction operation on the right side of the equation.2x=1082x =1082x=108

STEP 7

Finally, to find the value of x, divide both sides of the equation by2.x=108/2x =108 /2x=108/2

STEP 8

Perform the division operation to find the value of x.x=54x =54x=54So, the smaller number is54.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

We know that the sum of the two numbers is143. So we can set up the following equation $x + (x +35) =143$

implify the equation by combining like terms.
$2x +35 =143$

Next, we need to isolate x. We can do this by subtracting35 from both sides of the equation.
$2x =143 -35$

Perform the subtraction operation on the right side of the equation.
$2x =108$

Finally, to find the value of x, divide both sides of the equation by2.
$x =108 /2$

Perform the division operation to find the value of x.
$x =54$ So, the smaller number is54.