The sum of two number is seven and the sum of their cube is 133 find the sum of their squares

The sum of their squares = 29.

Step-by-step explanation:

Let's us first find out the numbers

we must first break number 7:-

1+6=7

2+5=7

3+4=7

And other combinations when we change the number postion

°) now let us look which numbers cubes when added makes 133:-

A) First one 1+6=7

Sum of Cubes=1+216=217 (it does not satisfy our Conditions)

B) Another one 2+5=7

Sum of Cubes 8+125=133 (satisfy the condition)

C) Last one 3+4=7

Sum of cubes 24+64=88 (does not satisfy)

Now we know the numbers(2,5) so as per question we need to find out sum of their square

Square of 2=4

Square of 5=25

Therefore, the sum of there square is 4+25=29.