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A two digit no. is 4 times the sum of its digits and twice the productof its digits .Find the numberPls don't spam answer..Pls give me ryt answer I have doubt on my equation..Pls help me ☺️

Answer»

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
⇒ 10y + x = 4(x + y)
⇒ 10y + x = 4x + 4y
⇒ 3x – 6Y = 0
⇒ 3x = 6y
∴ x = 2y → (1)
It is also given that the two digit number = 2 times product of its digits
⇒ 10y + x = 2xy
Divide by xy both the sides, we get
∴ y = 3
Hence x = 6
The two digit number is (10y + x) = 10(3) + 6 = 36


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