the ratio of two natural numbers is 3:2; if the same of their squares is 4212 , find them
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Answer:
Let the common ratio be x.
Then you can have the ratio represented as 3x:4x.
Given that Difference between their squares is 175.
(4x)^2 - (3x)^2 = 175
16x^2 - 9x^2 = 175
7x^2 = 175
x^2 = 175/7
x^2 = 25
x = 5.
Hence 3x = 3 * 5 = 15
4x = 4 * 5 = 20.
Therefore the numbers are 15 and 20.
Verification:
20^2 - 15^2 = 175
400 - 225 = 175
175 = 175
Hope this helps!
Step-by-step explanation:
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