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If 513\frac 5{13}135​​ of a certain number is added to 739\frac 7{39}397​​ of the same number, the result is 132. Find the number.
Question

If 513\frac 5{13}​ of a certain number is added to 739\frac 7{39}​ of the same number, the result is 132. Find the number.

A.

238

B.

234

C.

228

D.

224

Correct option is B

Given
Sum of  513\frac{5}{13} ​of a number and 739 \frac{7}{39}​ of the same number = 132

Solution
Let the certain number be x.
According to the question:
513x+739x=132 5×313×3x+739x=132 1539x+739x=132 15+739x=132 2239x=132 x=132×3922 x=6×39 x=234 \frac{5}{13}x + \frac{7}{39}x = 132 \\\ \\\frac{5 × 3}{13 × 3}x + \frac{7}{39}x = 132 \\\ \\\frac{15}{39}x + \frac{7}{39}x = 132 \\\ \\\frac{15 + 7}{39}x = 132 \\\ \\\frac{22}{39}x = 132 \\\ \\x = 132 × \frac{39}{22} \\\ \\x = 6 × 39 \\\ \\x = 234 \\\ \\​​
Final Answer
So the correct answer is (b)

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