S and D are two numbers. D is a two digit number such that the sum of squares of the individual digits is equal to S. The difference between S and D is 13. What is the value of D ?
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A. 24
B. 25
C. 34
D. 45
E. 54
I'm not certain if I am right but this is how I tackled this question.
I used back solving by testing out the numbers. Let's start with A.
A -> S = (2) + (4) all ^2 -> 6^2 =36. D = 24. 36 - 24 does not equal 27
B -> S = (2) + (5) all ^2 -> 7^2 =49. D = 25. 49 - 25 does not equal 27
C -> S = (3) + (4) all ^2 -> 7^2 =49. D = 34. 49 - 34 does not equal 27
D -> S = (4) + (5) all ^2 -> 9^2 =81. D = 45. 81 - 45 does not equal 27
E -> S = (5) + (4) all ^2 -> 9^2 =81. D = 54. 81 - 54 DOES equal 27
Therefore, E is the correct answer
Step-by-step explanation:
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