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Math always can be approached by analyzing step by step method for every question, its always necessary to solve the problems through the logical way and through the proper steps so that the student can understand the steps easily and follow it.

Let sin x = t

The sum of a number and 48 times its reciprocal is 49 find the numbers.

Solution:

Step 1: Let x be the number

Step 2: Let $\frac{1}{x}$ be its reciprocal of number

Step 3:Their sum is x + 1/x = 49

Step 4: x

Step 5: x

Step 6: x

Step 7: x

Step 8: x(x-48)-1(x-48)=0

Step 9: x - 1 = 0 , x - 48 = 0

Step 10: x = 1, x = 48.

The number can be either 1 or 48.