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The sum of the digits of a two digit num...

The sum of the digits of a two digit number is 10. If 18 is subtracted from the number, digits are reversed. Find the numbers.

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To solve the problem step by step, we will define the two-digit number based on the information provided in the question. ### Step 1: Define the digits Let the two-digit number be represented as: - The first digit (tens place) = \( x \) - The second digit (units place) = \( y \) Thus, the two-digit number can be expressed as: \[ \text{Number} = 10x + y \]
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NAGEEN PRAKASHAN ENGLISH-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3e
  1. If I is added to each of the two certain numbers, their ratio is 1 : 2...

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  2. If three times the larger of the two numbers is divided by the smaller...

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  3. The sum of the digits of a two digit number is 10. If 18 is subtracted...

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  4. In a two digit number, the units digit is twice the tens digit. If 27 ...

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  5. A two digit number is obtained by either multiplying the sum of the di...

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  6. Seven times a two-digit number is equal to four times the number ob...

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  7. A fraction becomes 4/5, if 1 is added to both numerator and denomin...

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  8. A fraction is such that if the numerator is multiplied by 3 and the ...

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  9. If the denominator of a fraction is added to its numerator and the nu...

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  10. 4 chairs and 3 tables cost Rs 2100 and 5 chairs and 2 tables cost R...

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  11. The cost of 3 oranges and 12 apples is Rs. 9.60 and the cost of 5 oran...

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  12. From Delhi station, if we buy 2 tickets for station A and 3 tickets fo...

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  13. A railway half ticket costs half the full fare and the reservation ...

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  14. Point A and B are 90 km apart from each other on a highway. A car s...

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  15. in the triangle ABC , /A=x^@,/B=3x^@,/C=y^@. if 3y-5x=30 then prove th...

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  16. In a triangles ABC , angle A = x^(@) , angle B = (3x - 2) ^(@) and a...

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  17. The largest angle of a triangle is twice the sum of the other two. The...

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  18. In a cyclic quadrilateral A B C D , /A=(2x+4)o,\ \ /B=(y+3)o,\ \ /C...

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  19. If in a rectangle, the length is increased by 2 units and breadth is r...

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  20. The perimeter of a rectangle plot is 32 metres. If the length is incre...

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