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The sum of digits of a two-digit numbe...

The sum of digits of a two-digit number is 15. The number obtained by reversing the order of digits of the given number exceeds the given number by 9. Find the given number.

A

96

B

69

C

87

D

78

Text Solution

Verified by Experts

The correct Answer is:
D
Let the ten's digit be x and the units digit be y . Then,
` x + y = 15" " `...(i) and `(10y + x )- (10 + y ) = 9 rArr y - x = 1 " " `...(ii)
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RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Multiple Choice Questions (Mcq)
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  10. The pair of equations x + 2y + 5 = 0 and -3x - 6y + 1 = 0 has

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  12. If a pair of linear equations is inconsistent then their graph l...

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  14. In a cyclic quadrilateral ABCD, it is being given that angle A =...

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  15. The sum of digits of a two-digit number is 15. The number obtained b...

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  18. The graphs of the equations 6x- 2y+9 =0 and 3x -y+12=0 lines which ar...

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  19. The graphs of the equations 2x +3y-2=0 and x-2y-8=0 lines which are

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  20. The graphs of the equations 5x-15y = 8 and 3x-9y=24/5 are two line whi...

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