exam Maths Puzzle Numerical Ability

The sum of two numbers is 25. The sum of their squares are 313. Find the numbers.

My work:
x+y=25
x^2+y^2=313

x=x
y=25-x

x^2+(25-x)^2=313
x^2+625+x^2-50x=313
2x^2-50x+312=0
2(x^2-25x+156)=0

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exam Other Question

can you help me solve for x and y

[3 4y] = [ 3 2]
5 8 2x-1 8



i tried and i got this,

3+4y=3
-4 -4
3y=-1
- -
3 3


y=-1/3
Please help! Solve each compound inequality. State the solution set using interval notation and graph it.
-1/2x <6 or 2/3x< 4