Respuesta :
Answer:
The largest number is 190.
Step-by-step explanation:
Given that,
Two whole numbers add up to 337 and their difference 43.
Let two whole number is x and y.
The sum of two whole number is
[tex]x+y=337[/tex]
The difference of two whole number is
[tex]x-y=43[/tex]
We need to calculate the numbers
Using equation (I) and (II)
[tex]x+y=337[/tex]
[tex]x-y=43[/tex]
Now, add the equations
[tex]2x=380[/tex]
[tex]x=\dfrac{380}{2}[/tex]
[tex]x=190[/tex]
Put the value of x in equation (I)
[tex]190+y=337[/tex]
[tex]y=337-190[/tex]
[tex]y=147[/tex]
The numbers are 190 and 147.
Hence, The largest number is 190.
