One number is 5 more than another. Five times the smaller equals 4 times the larger. Find the numbers.?

let x = a number

then,

(x + 5) is the larger number

5x = 4(x + 5)
x = 20

the numbers are: 20 and 25

check...do something !

s+s+5, 5s=4(s+5), 5s=4s+20, s=20, 5(20)=4(20+5), 100=80+20, 100=100, s=20 l=25.

Equation:
a + 5 = b <-- One number is 5 more than the other
5a = 4b <-- Five times the smaller equals 4 times the larger

Use the second equation and input the value of b:
5a = 4b <-- inplut the value of b
5a = 4(a+5) <-- multiplication
5a = 4a + 20 <-- move a term to one side, subtraction
a = 20

Use the second equation and input the value of a:
a + 5 = b <-- input the value of a
20 + 5 = b <-- addition
b = 25

a = 20
b = 25


Check:
a + 5 = b <-- input the values of a and b
20 + 5 = 25 <-- addition
25 = 25 <-- TRUE

5a = 4b <-- input the values of a and b
5(20) = 4(25) <-- multiplication
100 = 100 <-- TRUE

x = y + 5
5y = 4x
Solve the system of equations.
5y = 4(y + 5)
5y = 4y + 20
y = 20
x = 25

The numbers are -16 and -10