ICSE Class 10 Answered
x articles are bought at rupees (x - 8) each and (x - 2) some other articles are bought at rupees(x - 3) each. If the total cost of all these articles is a 76, how many articles of first kind were bought ?
Asked by Yuvraj | 21 Jan, 2018, 20:39: PM
![begin mathsize 16px style Cost space of space straight x space articles equals Rs. space left square bracket straight x left parenthesis straight x minus 8 right parenthesis right square bracket equals Rs. space left parenthesis straight x squared minus 8 straight x right parenthesis
Cost space of space left parenthesis straight x minus 2 right parenthesis space other space articles equals Rs. space left square bracket left parenthesis straight x minus 2 right parenthesis left parenthesis straight x minus 3 right parenthesis right square bracket equals Rs. space left parenthesis straight x squared minus 5 straight x plus 6 right parenthesis
Total space cost equals Rs. space 76
rightwards double arrow left parenthesis straight x squared minus 8 straight x right parenthesis plus left parenthesis straight x squared minus 5 straight x plus 6 right parenthesis equals 76
rightwards double arrow 2 straight x squared minus 13 straight x minus 70 equals 0
Solving comma space we space get space straight x equals 10 end style](https://images.topperlearning.com/topper/tinymce/cache/3c0373df5148db47f229da246ba6fd09.png)
Answered by Rashmi Khot | 22 Jan, 2018, 11:10: AM
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