Question

I multiply a certain number by 28 add 14 to the product divide the sum by 13 and subtract 4 from the result if I obtain twice the original number what number did I take at first


step by step verification plz​

Answer 1

Answer:

19

Step-by-step explanation:

Let the number be x

[ (28x + 14)/13 ] - 4 = 2x

(28x + 14)/13 = 2x + 4

28x + 14 = 13(2x + 4)

28x + 14 = 26x + 52

28x - 26x = 52 - 14

2x = 38

x = 19

Verification:

LHS:

[ (28(19)+14)/13 ] - 4 = [(532+14)/13] - 4

= 546/13 - 4

= 42 - 4

= 38

RHS:

2(19) = 38

LHS = RHS

Hence Verified.

Hope it helps you:)