The reqd. larger even
Let the reqd. first even integer be
Now, "The square of the sum of 2 consecutive positive even integers"
Next, "the sum of their squares"
We are given that,
Hence, we have,
Dividing throughout by
since we need
Hence, the reqd. larger even
Hope, this'll help! Enjoy Maths.!
The other solutions are correct. This is a very slightly different approach. Upon reflection, it is virtually the same as that by Ratnaker
The larger number is 10
The two numbers are even so my starting point is to make sure the first integer is even (divisible by 2)
Let the 'seed value' (can be even or odd) be
Let the first number be
Let the second number be
The square of the sum of 2 consec. numb.
is greater than
the sum of their squares
Divide by 8