- (A) 27
- (B) 39
- (C) 45
- (D) 86
_______ is considered the largest glacier of Pakistan.
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- (B) Tirich Mir Glacier
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A certain number of two digits is three times the sum of its digits, and if 45 be added to it, its digits are revered. Find the numbers?
A certain number of two digits is three times the sum of its digits, and if 45 be added to it, its digits are revered. Find the numbers?
- Solution: Let the number be 10x + y, where x = tens digit and y = units digit
- Given: 10x + y = 3(x + y) ⇒ 10x + y = 3x + 3y ⇒ 7x = 2y ⇒ y = 7x/2
- Also: 10x + y + 45 = 10y + x ⇒ 9x - 9y = -45 ⇒ x - y = -5 ⇒ y = x + 5
- Substitute: x + 5 = 7x/2 ⇒ 2x + 10 = 7x ⇒ 5x = 10 ⇒ x = 2
- y = 7
- So the number is 27
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