Answer:
40 and 56.
Step-by-step explanation:
x - y = 16 where x is the greater number
If the ratio is 5:7 one number must be 7/12 of the total of the 2 numbers, so:
x = 7/12(x + y)
From first equation x = y + 16, so substituting for x:-
y + 16 = 7/12( 2y + 16)
Multiplying through by 12:
12y + 192 = 7(2y + 16)
12y + 192 = 14y + 112
2y = 192 - 112 = 80
y = 40
So x = 40+ 16 = 56.
Answer:
The numbers are:
56 and 40
Step-by-step explanation:
a - b = 16 eq. 1
5a = 7b eq. 2
from eq. 1:
a = 16 + b
relacing this last eq. in eq. 2
5(16+b) = 7b
5*16 + 5*b = 7b
80 + 5b = 7b
80 = 7b - 5b
80 = 2b
80/2 = b
40 = b
From eq. 1
a - b = 16
a - 40 = 16
a = 16 + 40
a = 56
Check:
from eq. 2:
5a = 7b
5*56 = 7*40 = 280
