Question

how many two digit number whose tens digit is greater than unit digit have sum of their digit is equal to four times their difference
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Answer 1

This is a rather simple problem involving one equation, and one inequality.

Let our number have the tens digit as x and units digit y .

Our first condition:

x>y

Our second:

x+y=2(x−y)

Simplifying…

x+y=2x−2y

2x−x=y+2y

x=3y

So, now we substitute values for y to find corresponding values of x .

Note that x will always be greater than y because we assumed this when doing x−y .

I'm going to list out all our possible 2 digit numbers. Writing x and y again and again on a phone is getting painful.

31,62,93

Anything larger than 3 for the units digit gives a 3 digit number.

So there you go, 3 possible solutions.

Hope this helps u.

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