The digit in the units place of a 2 digit number is 4 times the digit in the tens place. The number obtained by reversing the digits exceeds the given number by 54. Find the given number.
28
15
25
32
A
25
B
28
C
32
D
15
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Solution
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Let one's digit be 4x. Then, ten's digit =x. Number =10x+4x=14x ....(1)
Number obtained by reversing the digits =40x+x=41x According to the given condition, 41x−14x=54 27x=54
x=2 Putting the value of x in (1) , we get
Number =14×2=28
Hence, 28 is the required number.
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