Answer:
27
Step-by-step explanation:
Let the two numbers, smaller be x and larger be y.
As per statement, one number is 3 less than a second number.
x = y - 3…Eq..1
Twice the second number is 3 less than 3 times the first.
3x = 2y + 3…Eq..2
Now putting the value of x from Eq..1 to Eq…2
3x = 2y + 3
3 (y - 3) = 2y + 3
3y - 9 = 2y + 3
3y - 2y = 3 + 9
y = 12
The larger number is 12.
Now putting the value of y in Eq. 1 to get the value of x
x = y - 3
x = 12 - 3
x = 9
The smaller number is 9
Answer the two numbers, smaller is 9 and larger is 12.
To check the correctness of answer, substituting the derived values of two numbers in the Eq…2
3x = 2y + 3
3 × 9 = 2 × 12 + 3
27 = 24 + 3
27 =27
