A number of two digits exceeds four times the sum of its digits by 6 and it is increased by 9 on reversing the digits. Find the number
Answers
Answered by
24
Answer:
34
Step-by-step explanation:
Let x and y be the digits. The number is 10x+y.
Number of two digits exceeds four times the sum of its digits by 6
=> 10x + y - 6 = 4(x + y)
=> 6x - 3y - 6 = 0
=> 2x - y = 2 -------------------------> [1]
it is increased by 9 on reversing the digits.
=> 10y + x - (10x+y) = 9
=> 9y - 9x = 9
=> y - x = 1 -------------------------------> [2]
Solve 1 and 2.
2x - y = 2
-x + y = 1
---------------
=> x = 3
-> y = 4.
Thus the number is 34
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