Question

please answer this question with step by step explanation​

Answer 1

Answer:

Total no. of books in the library = 240

Step-by-step explanation:

x - [1/5×x + 1/8×x + 1/12×x] = 142

x - [x/5 + x/8 + x/12] = 142

120x/120 - [24x/120 + 15x/120 + 10x/120] = 142  [L.C.M = 120]

x/1 = x ×120/1×120 = 120x/120, x/5 = x×24/5×24  = 24x/120, x/8 = x×15/8×15 = 15x/120, x/12 = x×10/12×10 = 10x/120]

120x/120 - 49x/120  = 142

71x/120  = 142

71x = 142 × 120

71x = 17040

x = 17040/71

x = 240

Total no. of books = 240

HOPE YOU UNDERSTAND!

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