A two-digit number is such that if the digit 4 is placed to its right, its value would
increase by 490. Find the original number.
(1)48
(2)54
(3)64
(4)56
ans with explaination
Answers
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0
Answer:
A) 56 is the correct answer
Answered by
1
The orignal number is 54.
GIVEN
A two-digit number is such that if the digit 4 is placed to its right, its value would increase by 490.
TO FIND
The orignal number.
SOLUTION
We can simply solve the above problem as follows;
Let the digit at tens place = x
The Digit at ones place = y
Two-digit number thus formed = 10x + y
When 4 is added to the number. The number becomes a 3-digit number.
Therefore,
Number after adding 4.
100x + 10y + 4 = 10x + y + 490
Adding the like terms.
100x-10x + 10y-y = 490-4
90x + 9y = 486
Diving the whole equation by 9
10x + y = 54.
Hence, The orignal number is 54.
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