Question 72

The ratio between 2 numbers is 4:5 and the sum of their squares is 1025 , then the numbers are

Solution

Let the numbers be 4x and 5x
Sum of the squares is 1025
$$(4x)^{2}+(5x)^{2}$$=1025
$$41x^{2} $$=1025
$$x^{2} $$=25
x=5
The numbers are 20 and 25

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