A two-digit natural number is such that the product of its digits is 12. When 3 is added to this number, the digits interchange their places. Find the number
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Let a digit at unit’s place be x and at ten’s place by y .
Then according to problem
Required no. = 10y + x
On interchanging the digits
Number formed = 10x + y
xy = 12
∴ x = 12/y
10y + x + 36 = 10x + y
10y + x – 10x – y = - 36
9y – 9x = - 36
9(y – x) = - 36
y – x = - 36/9
y – x = - 4
On substituting value of x = 12/y
y - 12/y = - 4
y2 – 12/y = - 4
y2 + 4y – 12 = 0
y2 + 6y – 2y – 12 = 0
y(y + 6) – 2(y + 6) = 0
( y + 6)(y – 2) = 0
y = - 6, 2
When y = 2
x = 12/2 = 6
Required no. = 10y + x
= 10 × 2 + 6
= 20 + 6
= 26
mark as brainliest dude. , 26 is your answer. and your question is not 3, its 36 right? hope its right
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bijnar
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