Respuesta :

Four numbers are A, B, C, x
A+B+C+x=1650
A+B+C=1.2x
{A+B+C}=y
y=1.2x
y+x=1650
1.2x+x=1650
2.2x=1650
x=750

The value of x is 750.

What is substitution method?

The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.

Let the four numbers be p, q, r, and x.

According to the given question.

[tex]p+q+r+ x = 1650...(i)[/tex]

Also, [tex]p + q + r = x + \frac{20}{100}x[/tex]

⇒[tex]p+q+r = 1.2x[/tex]

Substitute the value of [tex]p+q+r[/tex] in equation (i)

⇒[tex]1.2x + x = 1650[/tex]

⇒[tex]2.2x = 1650[/tex]

⇒[tex]x = \frac{1650}{2.2}[/tex]

⇒ [tex]x = 750[/tex]

Hence. the value of x is 750.

Find out more information about substitution method here:

https://brainly.com/question/14619835

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