Question

A number is divided into 2 parts, such that one part is 10 more than the other. If the 2 parts are in the ratio 5:3, find the number and the 2 parts. PLEASE TELL THE WHOLE EQUATION IN ONE VARIABLE.

Answer 1

Let the parts are x and (x + 10)

According to the question,

$\frac{x + 10}{x} = \frac{5}{3} \\ \\ \\ 3(x + 10) = 5x \\ \\ 3x + 30 = 5x \\ \\ 30 = 5x - 3x \\ \\ 30 = 2x \\ \\ \frac{30}{2} = x \\ \\ 15 = x$

Parts are x = 15 and (x + 10) = 15 + 10= 25



Number is 15 + 25 = 40
I hope this will help you

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