Answer:
6 1/8 and 11 7/8
Step-by-step explanation:
Just use algebra. x+y is equal to 18. 3x=4y+5. Then you substitute the value x for y by dividing by three. From there it is just computation
Answer:
The numbers are 11 and 7
Step-by-step explanation:
Let the numbers be P and V
Let P be the greater number and V be the smaller number.
From the question, the sum of the numbers equals 18 i.e
P + V = 18
Also from the question,
We were told that three times the greater number exceeds four times the smaller number by 5 i.e
3P = 4V + 5
P = (4V + 5) / 3
Substituting the value of P into equation (1), we obtain:
P + V = 18.
(4V + 5) / 3 + V = 18
Multiply through by 3 to express in linear form, we have:
4V + 5 + 3V = 54
Collect like terms
4V + 3V = 54 - 5
7V = 49
Divide both side by the coefficient of V i.e 7
V = 49/7
V = 7
P + V = 18
P = 18 - V
P = 18 - 7
P = 11
The numbers are 11 and 7
