the difference between two numbers is 14 and the difference between their squares is 448 find the number
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Answer:
23&9
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Given:-
- The difference between two numbers is 14.
- The difference between their square is 448
To find:-
- Find the two numbers..?
Solutions:-
- Let the one number be x.
- Let the another number be y.
The difference between two numbers is 14.
=> x - y = 14
=> 14 + y .......(i).
The difference between their square is 448.
=> x² - y² = 448
Putting the value of x from Eq (i).
=> x² - y² = 448
=> (14 + y)² - y² = 448
=> 14² + y² + 28y - y² = 448
=> 196 + 28y = 448
=> 28y = 448 - 196
=> 28y = 252
=> y = 252/28
=> y = 9
Putting the value of y in Eq (i).
=> x = 14 + y
=> x = 14 + 9
=> x = 23
Hence, the two numbers are 9 and 23.
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