The difference between two whole numbers is 96. The ratio of the two number is 3:7. What are the two numbers?
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1
Step-by-step explanation:
Let the two numbers be x and y ,
Now , according to the condition given in the question,
the two numbers are in the ratio of 3:5
=> x/y = 3/5
=> 5x = 3y _._. _._._._._.(1)
Now, again , as per the second condition given in the question,
the sum of the two numbers are 96
=> x + y = 96 _._._._._._._._.(2)
From equation (1) => x = 3y/5
Putting this value of x in equation (2),
=> 3y/5 + y = 96
=> 8y/5 = 96
=> y = 96×5/8
=> y = 60
Putting this either in equation (1) or (2), we will get
x = 36
Hence, we get the bigger number of the two as 60.
Hope your doubt must be cleared!
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Answered by
2
let the whole no be 3x and 7x
according to the question
3x-7x = 96
-4x = 96
x= -24
hence the no are 3x = 3×-24 = -72
7x = 7× -24 = -168
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