Punna asked in Science & MathematicsMathematics · 9 years ago

# 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

Relevance
• 9 years ago

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

• 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']