1.

The digit in the units place of a 2 digit number is 4times the digit in the tens place. The numberobtained by reversing the digits exceeds the givennumber by 54. Find the given number.

Answer»

Let the digit at tens place be x&that of ones be yy=4x......................(given)4x-y=0...................(1)by the first given condition10y+x=10x+y+549y=9x+549x-9y=-54x-y=-6.......(dividing through 9)(2)subtracting eqn (2) from (1)3x=6x=2substitute x=2 in eq n(2)y=8Number:10x+y=10(2)+(8)=20+8=28



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