1.

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​

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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