sum of the number 7 if we add 45 to the number,the digits are interchanged .find...answer 16 explain by step
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Step-by-step explanation:
Given that, sum of the digits = 7.
Let one digit be x. Then the second digit will be (7 - x)
The number, then, will be 10x + (7 - x)
= 9x +7
According to the condition,
9x + 7 + 45
= 10(7 - x) + x. [ Interchanged version of 10x + (7 - x) ]
=> 9x + 52 = 70 - 9x
=> 9x + 9x = 70 - 52
=> 18x = 18
=> x = 1
Substituting x = 1 in 10x + (7 - x) , we get
10(1) + (7 - 1) = 10 + 6 = 16.
Verification
16 + 45 = 61
where 61 is number whose digits are interchanged version of 16.
Hope you find it helpful
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