A number consists of two digits whose sum is 9. If 27 is added to the number, its digits are interchanged. Which of the given steps is CORRECT to find the number? Step 1 :Let the unit’s digit be x Step 2 :Then, ten’s digit = (9 – x) ∴ Number = 10 × (9 – x) + x ⇒ 90 – 10x + x = (90 – 9x) Step 3 :Adding 27 to the number 90 – 9x, we get 117 – 9x Step 4 :Number with digits interchanged is 10x + (9 – x) = 9x + 9 Step 5 :117 – 9x = 9x + 9 Step 6 :Therefore unit’s digit = 6 and ten’s digit = 3 Step 7 :Hence the number = 36.
Answers
Answered by
2
Step-by-step explanation:
A number consists of two digits whose sum is 9. If 27 is added to the number, its digits are interchanged. Which of the given steps is CORRECT to find the number? Step 1 :Let the unit’s digit be x Step 2 :Then, ten’s digit = (9 – x) ∴ Number = 10 × (9 – x) + x ⇒ 90 – 10x + x = (90 – 9x) Step 3 :Adding 27 to the number 90 – 9x, we get 117 – 9x Step 4 :Number with digits interchanged is 10x + (9 – x) = 9x + 9 Step 5 :117 – 9x = 9x + 9 Step 6 :Therefore unit’s digit = 6 and ten’s digit = 3 Step 7 :Hence the number = 36.
Answered by
28
Answer:
answer in attachment
Step-by-step explanation:
Attachments:
Similar questions
Hindi,
3 months ago
Math,
3 months ago
Social Sciences,
7 months ago
English,
7 months ago
History,
11 months ago