Math, asked by hyeonna143, 4 months ago

Translate “four times a number decreased by ten is eight less than twice the number” into an equation.

Answers

Answered by ankurrajawat18
0

Answer:

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Answered by IntrovertLeo
8

Given:

Four times a number decreased by ten is eight less than twice the number.

What To Do:

We have to form the equation and solve to find the value of a  number.

Solution:

Let the number be x.

According to the statement,

The equation will be,

⇒ 4x - 10 = 2x - 8

Take 2x to LHS and 10 to RHS,

⇒ 4x - 2x = - 8 + 10

Solve the brackets,

⇒ 2x = 2

Take 2 to RHS,

⇒ x = 2/2

Divide 2 by 2,

⇒ x = 1

∴ Thus, the value of number that is x is 1.

To Verify:

4x - 10 = 2x - 8

Substitute the value,

⇒ 4 × 1 - 10 = 2 × 1 - 8

Multiply the numbers,

⇒ 4 - 10 = 2 - 8

Subtract the numbers,

⇒ -6 = -6

∴ LHS = RHS

∴ Hence, verified.

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