the digit at the tens places of a 2 digit number is two times the digit at the ones place. if the digit are interchanged and add the 15 in the new number that obtained, then the new number will become 3/4 times of original number. find the number
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The 2 digit number represented by XY is 10X+Y.
Your first restrictions is X=3Y. giving you only 3 options 31,62,93.
2nd restrictions is 10Y+X=10X+Y−36
You can cross out 31 and need to test the other two:
26=62–36: yep
39=93–36: no
There's your answer.
If you want a general answer then you need to solve the 2 equations:
10Y+X=10X+Y−36
X=3Y
With limitations 0<X<10, 0<=Y<10 and X,Y are integers.
Replacing X with 3Y you get
10Y+3Y=30Y+Y−36
13Y=31Y−36
18Y=36
Y=2
X=6
sk2536512:
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