Math, asked by saksham146, 1 year ago

the sum of the digit of a two digit number is 7 if the digits are reserved the new number increased by 3 equals 4 times original number find the original number

Answers

Answered by Swarup1998
12
◀ HERE'S ⏬ YOUR ANSWER▶

Let, the digits are x and y.

So the number is (10x+y).

When the digits are reversed, the number is (10y+x).

Given that,
x+y=7
》6x + 6y = 42 .....(i)

and
(10y+x) + 3 = 4(10x+y)

》39x - 6y = 3 .....(ii)

(i) + (ii) 》》
45x = 45.
i.e., x = 1

So, y = 6.

Hence the original number is 16.

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