Answer:
1764
Step-by-step explanation:
Let x = small number
Let y = large number
Form 2 equations
x/y=4/9
y=x+35
x/(x+35)=4/9
x=4/9x+4/9(35)
x-4/9x=140/9
5/9x=140/9
x=28
y=28+35
y=63
product of 2 numbers
28x63=1764
You can assume first number to be 4 times some factor and second number to be 9 times that same factor so when they both come in ratio, then that same factor gets cancelled out and left ratio would be 4:9.
The product of both the numbers is 1764.
Given that:
Since both numbers are in ratio of 4:9, thus let the first number be 4x and second number be 9x.
Now,
Then we have:
[tex]9x = 35 + 4x\\5x = 35\\x = 7[/tex]
Then both numbers 9x and 4x are 63 and 28.
The product of both numbers is [tex]= 63 \times 28 = 1764[/tex]
Then we have:
[tex]4x = 9x + 35\\-5x = 35\\x = -7\\[/tex]
Then both numbers are -63 and -28.
The product of both numbers is: [tex]-63 \times -28 = 1764[/tex]
Thus, product of both the numbers is 1764.
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