Respuesta :

Answer:12

Step-by-step explanation:

Let the numbers be a and b

a-3b=5 ........equation (1)

There product is :

ab=68 ..........equation (2)

From equation (1)

a-3b=5

Make a the subject of the formula

a=5+3b. ........equation (3)

Substitute equation (3) into equation (2)

(5+3b)b=68

3(b^2)+3b-68=0

The product is -204b^2(17 and -12)

(b+17)(b-12)=0

b=-17 or b=12

So the number is 12

First and another number is 4 and 17

Given that;

Product of two number = 68

Find:

Numbers

Computation:

Assume;

First number = a

So, Another number = 3a + 5

[a][3a + 5] = 68

3a² + 5a = 68

3a² + 5a - 68 = 0

3a² + 17a - 12a - 68 = 0

3a(a - 4) + 17(a - 4)

So,

a = 4

First number = 4

So, Another number = 3a + 5 = 3(4) + 5 = 17

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