Answer:
The numbers are ( 1 , 9 ) .
Step-by-step explanation:
Given statement as ;
A first number plus twice a second number is 19.
Twice the first number plus the second number total 11
Let The first number = x
And The second number = y
Now, according to question
First number + twice second number = 19
I.e x + 2 × y = 19 ....A
And Twice first number + second number = 11
I.e 2 × x + y = 11 ....B
Solving A and B
2 × ( 19 - 2 × y ) + y = 11
or, 38 - 4 y + y = 11
Or, 3 y = 27
∴ y = [tex]\frac{27}{3}[/tex]
I.e y = 9
Put the value of y in Eq A
x + 2 × y = 19
Or, x + 2 × 9 = 19
Or, x = 19 - 18
∴ x = 1
So, numbers are ( x , y ) = ( 1 , 9 )
Hence The numbers are ( 1 , 9 ) . Answer
