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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. |
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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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