. A two-digit number is 4 times the sum of its digits and twice the product of the digits.
Find the numbers
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Answer:
36
Step-by-step explanation:
Let the digits in the number be x and y .
So the number will be 10x + y
The number is 4 times the sum of digits
10x + y = 4 ( x + y )
10x + y = 4x + 4y
6x - 3y = 0
2x - y = 0 ... ( 1 )
i.e y = 2x
The number is trice the product of digits
10x + y = 2xy
Put y = 2x
10x + 2x = 2x ( 2x )
12x = 4x^2
3 = x
x = 3
y = 2x = 6
y = 6
The number will be 10x + y i.e. 30 + 6 = 36
THANKS!!!
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