Answer:
The smaller number is 19 .
Step-by-step explanation:
Given as :
The sum of two numbers = 47
The greater number if 9 more than the smaller number
Let The larger number = L
Let The smaller number = S
Now, According to statement
∵ The sum of two numbers = 47
So, Larger number + smaller number = 47
Or, L + S = 47 ........1
And
Larger number = 9 + smaller number
or, L = 9 + S
Or, L - S = 9 .........2
Now, Solving equation 1 and 2
i.e (L + S) + (L - S) = 47 + 9
Or, (L + L) + (S - S) = 56
Or, 2 L + 0 = 56
∴ L = [tex]\dfrac{56}{2}[/tex]
i.e L = 28
So, Larger number = L = 28
Now, Put the value of L into eq 1
I.e L + S = 47
Or, 28 + S = 47
Or, S = 47 - 28
i.e S = 19
So, Smaller number = S = 19
Hence, The smaller number is 19 . Answer
