What number must be subtracted from each term of ratio 15: 18 so that it may become equal to the term the ratio of 3:47
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Step-by-step explanation:
Let the number be x, Then the two term becomes, = (17 – x): (33 – x) = 7: 15 = (17 – x) / (33 – x) = (7/15) By cross multiplication, = 15 × (17 – x) = 7 × (33 – x) = 255 – 15x = 231 – 7x Transposing -15x to RHS and 231 to LHS = 255 – 231 = 15x -7x = 8x = 24 = x = (24/8) = x = 3 Hence, the number be subtracted from each term of the ratio 17:33 to make the ratio 7: 15
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