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gregori [183]
3 years ago
12

The digit in the tens placeof a two digit is three times that in the units place. if the digits are reversed , the new no will b

e 36 less than the original number .Find the original no.
pls help
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

If a number's ten digit is x and the units digit is y, then you can write the number as 10x+y.

Obviously, inverting the digits would lead to the number 10y+x.

Since this new number is 36 less than the original, we have

10y+x = 10x+y-36 \iff 9x-9y=36\iff x-y=4

Since we also know that the digit in the tens place is three times that in the units place, we can add an equation to form a system:

\begin{cases}x-y=4\\x=3y\end{cases}\iff 3y-y=4\iff y=2

And thus x=2\cdot 3=6

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