Question

A two digit number is 4 times the sum of its digit and twice the product of the digits. find the number​

Answer 1

Given:-

• A two digits number is 4 times the sum of its digits.
• A two digits number is twice the product of the digits.

Solutions:-

• Let the digits at unit's place by y.
• Let the digits at ten's place by x.

A two digits number is 4 times the sum of its digits.

=> 10x + y = 4(x + y)

=> 10x + y = 4x + 4y

=> 10x - 4x = 4y - y

=> 6x = 3y

=> 2x = y

A two digits number is twice the product of the digits.

=> 10x + y = xy .........(ii).

Putting the value of y in Eq (ii).

=> 10x + 2y = 2x (2x)

=> 12x = 4x²

=> 3 = x

Putting the value of x in Eq (i).

=> 2x = y

=> 2 × 3 = y

=> 6 = y

=> y = 6

So, Number => 10x + y

=> 10 × 3 + 6

=> 30 + 6

=> 36

Hence, the number formed is 36.

Answer 2

Answer:

freeeee ppoooiiinnnttss