Question
A two-digit number has digits summing up to 10. On
subtracting 36 from the number, the digits get interchanged. What is the original number?Solution
ATQ,
Let the ones digit = 'a', tens digit = 'b'
Number = 10b + a, Reversed = 10a + b
a + b = 10 --------- (I)
10b + a - 36 = 10a + b
⇒ 9b - 9a = 36
⇒ b - a = 4 --------- (II)
Add (I) and (II):
a + b + b - a = 10 + 4
⇒ 2b = 14 ⇒ b = 7
Then a = 3
Required number = 10 × 7 + 3 = 73
What does the word “imprisoned” mean in context of the passage?
“The political parties ignored the situation of border crossing over the decades in order to cultivate vote banks.” According to the passage, this ...
What would be an antonym for "saturated" as used in the passage?
Which of the following statements is true according to the passage?
What is the meaning of ‘cannot feign surprise’ as used in the passage?
Which of the following is likely to co-exist?
Statement: As per Norman Myers, not more than 6.8% of primary vegetation out of the original 182,500 sq km remains in the Western Ghats and Sri Lanka t...
Which of the following statements is definitely true according to the passage?
A. The final count for state has recently been completed.
Which of the following words seems most opposite in meaning to the word curb as used in the passage?
Which of the following words seems the most opposite in meaning to the word 'mend' s used in the passage?
Relevant for Exams:
