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#### Question

A three digit number is equal to 17 times the sum of its digits. If 198 is added to the number, the digits are interchanged. The addition of first and third digit is 1 less than middle digit. Find the number.

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#### Similar questions

Solve the following systems of equations by eliminating ‘y’ (by substitution) :

**(i)** 3x – y = 3

7x + 2y = 20

**(ii)** 7x + 11y – 3 = 0

8x + y – 15 = 0

**(iii)** 2x + y = 0

17x – 11y – 8 = 0

Solve the following pair of linear equations by the substitution method.

`(3x)/2 - (5y)/3 = -2`

`x/y+y/2 = 13/6`

Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 3.

Solve each of the following system of equations by eliminating x (by substitution) :

(i) x + y = 7

2x – 3y = 11

(ii) x + y = 7

12x + 5y = 7

(iii) 2x – 7y = 1

4x + 3y = 15

(iv) 3x – 5y = 1

5x + 2y = 19

(v) 5x + 8y = 9

2x + 3y = 4

If the point A(3, 2) lies on the graph of the equation 5x + ay = 19, then find a.