A number say z is exactly the four times the sum of its digits and twice the product of the digits. Find the numbers.
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Answer:
36 is the answer.
Step-by-step explanation:
Let the digit in the ones place be x and tens place be y
Hence the two digit number =10y+x
Given that the two digit number =4 times sum of its digits
According to the question,
⇒ 10y+x=4(x+y)
⇒ 10y+x=4x+4y
⇒ 3x−6y=0
⇒ x=2y ------- ( 1 )
It is also given that the two digit number =2 times product of its digits
⇒ 10y+x=2xy
On solving,
The two digit number =(10y+x)=10(3)+6=36
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