Respuesta :

[tex]5x+10=100-x\\6x=90\\x=15[/tex]

The number will be [tex]15[/tex] .

What is expression ?

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Let a number [tex]=x[/tex]

So,

Write [tex]5[/tex] times a number is increased by [tex]10[/tex] in [tex]x[/tex] form,

i.e. [tex]5x+10[/tex]

And,

Write [tex]100[/tex] is decreased by the number in [tex]x[/tex] form,

i.e. [tex]100-x[/tex]

So,

According to the question,

[tex]5x+10=100-x[/tex]

Now simplify the above expression,

i.e.

[tex]5x+x=100-10[/tex]

[tex]6x=90[/tex]

[tex]x=15[/tex]

So, the number is [tex]15[/tex].

Hence, we can say that the number will be [tex]15[/tex] .

To know more about expression click here

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