SSC Government Jobs Exams Numerical Ability Arithmetic

The sum of two numbers is 24 and their product is 143. The sum of their
squares is

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SSC Other Question

The least number, which is to be added to the greater number of 4 digits so that the sum may be divisible by 345, is L.C.M. of two number is 120 and their H.C.F. is 10. Which of the following can be the sum of those two numbers?