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

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

1. A
53
2. B
42
3. C
63
4. D
36

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### Solution:

Given that a two-digit number is 4 times the sum of its digits and twice the product of the digits.
Let x be the digit in the ones place and y be the digit in the tens place.
So, the two-digit number = 10y + x.
Since, given that number = 4 times sum of its digits, we get
…………..(1)
Also, given number = 2 times product of its digits,
…………(2)
Divide equation (2) by xy on both the sides.
………….(3)
Put x = 2y from equation (1) in equation (3).

Put y= 3 in equation (1).

Put x= 6 and y= 3 in equation 10y + x.
Two-digit number is,
So, the two-digit number is 36.
The correct option is (4).

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