When ¾ of a unit's digit is added to the ten's digit of a two number, the sum of the digits becomes 10. If ¼ o?

When ¾ of a unit's digit is added to the ten's digit of a two number, the sum of the digits becomes 10. If ¼ of the ten's digit added to the unit's digit, then the sum of the digits is 1 less than the previous. Find the number.

a) 94

b) 84

c) 48

d) 88

can u explain in step by step

2 Answers

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  • 9 years ago
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    The Answer is 84

    1) (3/4)*8+4 = 10 -->When ¾ of a unit's digit is added to the ten's digit of a two number, the sum of the digits becomes 10

    2) (1/4)*4+8 = 9 -->¼ of the ten's digit added to the unit's digit, then the sum of the digits is 1 less than the previous

    There fore answer is 84

  • 9 years ago

    1) Let the two digit number be 'xy'

    2) As per Data 1: x + (3/4)y = 10; ===> 4x + 3y = 10 --- (i)

    3) As per Data 2: (1/4)x + y = 9; ==> x + 4y = 36 ---- (ii)

    4) Solving the above two equations (i) & (ii), x = 4 and y = 8

    Thus the two digit number is 48 [Ans: 'c']

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