Respuesta :
Answer:
41
Step-by-step explanation:
Let the number written by Sophie be xy. Now Max wrote 3, the number now looks like xy3.
From the question, we know that:
xy3 - xy = 372
We can see from here obviously that 3 - y = 2
This makes y equals to 1
Now we have x13 - x1 = 372
In the first x13, x stands for hundreds, 1 stands for tens and 3 as units. In the second s stands for tens and 1 as units. This essentially mean:
(100x + 10 + 3) - (10x + 1) = 372
100x + 10 + 3 - 10x - 1 = 372
90x + 12 = 372
90x = 372 - 12
90x = 360
x = 360/90 = 4
The two digits number of Sophie is 41 and the three digits number of Max is 413.
What is the linear system?
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Sophie wrote a two-digit number on the board.
Max wrote the digit 3 to the right of it and got a number that is bigger than Sophie's number by 372.
Let the Sophie number be xy and the Max number be xy3. Then according to the condition, we have
[tex]\rm xy3 = 372 +xy[/tex]
Compare the one's place, we have
y + 2 = 3
y = 1
Then the equation will be
[tex]\rm x13 = 372 +x1[/tex]
The equation can be written as
[tex](100x + 10 + 3) = (300+70+2) + (10 x + 1)[/tex]
On simplifying, we have the value of x,
x = 4
Then Sophie's number is 41 and Max's number is 413.
More about the linear system link is given below.
https://brainly.com/question/20379472
