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I think dout has clarified
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The number is 12.
Step-by-step explanation:
Let,
The ones place digit of a two digit number be x
The tens place digit of a two digit number be y
So, the number = x + 10y
By reversing the order of the digits the number becomes = y + 10x
According to first condition,
7 (x+10y) = 4 (y+10x)
or, 7x+70y = 4y+40x
or, 33x-66y = 0
or, 33 (x-2y) = 0
or, x-2y = 0 ------1️⃣
According to second condition,
x+y = 3 ------2️⃣
Subtracting equation 2️⃣ from equation 1️⃣ we get,
x - 2y = 0
x + y = 3
(-) (-) (-)
---------------
-3y = -3
or, y = 1
Putting the value of y in equation 2️⃣ we get,
x+1 = 3
or, x = 3-1
or, x = 2
So, The number = 2+(10×1)
= 2+10
= 12
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