a + b = 41 or a + 8 + 2a = 41 ......the equation
a = 11
b = 30
Step-by-step explanation:
Let the smaller number = a
twice smaller number = 2 * a = 2a
eight more than the twice smaller number = 8 + 2a
Let the larger number = b
b = eight more than the twice smaller number
b = 8 + 2a
Sum of both numbers = 41
a + b = 41 ......the equation
a + 8 + 2a = 41 .....another equation
collect like terms:
3a + 8 = 41
3a = 41 - 8
3a = 33
Divide both sides by 3:
3a/3 = 33/3
a = 11
b = 8 + 2a
b = 8 + 2(11) = 8 + 22
b = 30