Math, asked by skhritikshivam, 8 months ago

sum of the number 7 if we add 45 to the number,the digits are interchanged .find...answer 16 explain by step ​

Answers

Answered by Anonymous
1

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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