30) A two-digit positive number is six times the sum of its digits and

1.	30) A two-digit positive number is six times the sum of its digits and is to thethrice the product of its digits. Find the number
Answer» Heya! mate here's your ANSWER..... Step-by-step explanation: Let's say the 2 digit NUMBER is XY , so the number can be represented as 10X+Y . As per the QUESTION , 10X+Y = 6(X+Y) 4X=5Y …….(I) And 10X+Y= 3XY-6 10(5Y/4)+Y=3(5Y/4)Y-6 54Y=15Y(sq)-24 Solving for Y we get 5y(sq)-18Y-8=0 Y=4 or Y=-2(ignore) So X = 5 Number is 54

30) A two-digit positive number is six times the sum of its digits and is to thethrice the product of its digits. Find the number

Answer»

Heya! mate here's your ANSWER.....

Step-by-step explanation:

Let's say the 2 digit NUMBER is XY , so the number can be represented as 10X+Y .

As per the QUESTION , 10X+Y = 6(X+Y)

4X=5Y …….(I)

And 10X+Y= 3XY-6

10(5Y/4)+Y=3(5Y/4)Y-6

54Y=15Y(sq)-24

Solving for Y we get

5y(sq)-18Y-8=0

Y=4 or Y=-2(ignore)

So X = 5

Number is 54

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30) A two-digit positive number is six times the sum of its digits and is to thethrice the product of its digits. Find the number​

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30) A two-digit positive number is six times the sum of its digits and is to thethrice the product of its digits. Find the number