Answer:
x = -40 and y = -64
Step-by-step explanation:
The ratio of the two numbers is 5/8, since the difference of these two numbers is 24, what is the sum
Let two numbers be x and y.
ATQ,
x-y = 24 ..(1)
and
[tex]\dfrac{x}{y}=\dfrac{5}{8}[/tex]
or
8x-5y =0 ...(2)
Multiply equation (1) by 8.
8x-8y = 192 ...(3)
Subtract equation (3) from (2).
8x-5y -(8x-8y) = 0-192
-5y+8y = -192
3y = -192
y = -64
Put the value of y in equation (1).
x-(-64) = 24
x+64 = 24
x = -64+24
x = -40
So, the values of x and y are -40 and -64 respectively.
