Answer:
The numbers are 20 and 140
Step-by-step explanation:
The question in English is
Find 2 numbers knowing that the second number is 7 times greater than the first, and the sum between the double of the first number and the triple of the second is 460
Define the variables
Let
x ----> the first number
y ----> the second number
we know that
[tex]y=7x[/tex] -----> equation A
[tex]2x+3y=460[/tex] ----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B
[tex]2x+3(7x)=460[/tex]
solve for x
[tex]2x+21x=460[/tex]
[tex]23x=460[/tex]
[tex]x=20[/tex]
Find the value of y
[tex]y=7x[/tex] ----> [tex]y=7(20)=140[/tex]
The numbers are 20 and 140
