A humber has two
has two digit whose sum is b. It 18 is added
reversed. find the number
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Correct Question:
A number has two digits whose sum is 6. If 18 is added to the reversed number. Find the number.
Step-by-step explanation:
Assume that the ten's digit number be x and one's digit number be y.
As per given condition,
→ x + y = 6
→ x = 6 - y ........................(1)
Original Number = 10x + y and Reversed Number = 10y + x
→ 10y + x + 18 = 10x + y
→ 9x - 9y = 18
→ x - y = 2 ..........................(2)
Substitute value of x in (2)
→ 6 - y - y = 2
→ 2y = 4
→ y = 2
Substitute value of y in x
→ x = 6 - 2
→ x = 4
Hence, the original number is 42 and reversed number is 24.
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