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Of the two number,4time smaller one is less than 3 times the large byone by 6 ,also the sum of number is great than 6 times there Difference by 5 .find number |
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Answer» Answer: 59 Step-by-step explanation: LET the two NUMBERS be X(smaller) and y(larger) . We will have the following EQUATIONS : 4x = 3y - 5 4x - 3y = - 5 3y - 4x = 5....... 1) x + y = 6(y - x) + 6 x + y = 6y - 6x + 6 7x - 5y = 6........ 2) Solving 1 and 2 simultaneously. Multiply equation 1 by 5 and equation 2 by 3 we get : 15y - 20x = 25 21x - 15y = 18 Adding the two : x = 43 3y - 4 × 43 = 5 3y - 172 = 5 3y = 177 Y = 177/3 Y = 59 |
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