Question

4. Is \( y=-2 \) a solution of equation \( 3 y+14=12 \) ? If not, find the correct solution. 5. The sum of three prime numbers is 51 . If the largest number exceeds the middle number by 6 , find the three numbers. 6. The quantity of cloth used in making a trouser is 1 m more than the quantity used in making a shirt. If 5 shirts and 10 trousers are made from a cloth of length 55 m , what is the length of cloth used for each shirt and each trouser? 7. The ratio of the length and breadth of a rectangular plot is \( 7: 4 \). The total cost of fencing the plot at a rate of \( ? 100 \) per metre is \( ? 55,00,000 \). What are the dimensions of the plot? 8. The digits of a two-digit number differ by 5. If we interchange the digits and add this number to the original number, we get 121 . Find the original number. 9. The angles of a triangle are in the ratio \( 2: 3: 4 \). Find the measure of each angle. 10. A teacher announced that the highest marks obtained by a student in the class is thrice the lowest marks plus 9. Given that the highest marks obtained is 99 , find the lowest marks. 11. A 50 L water-alcohol solution has 10 L of alcohol. How much water must be added to make the solution \( 8 \% \) diluted.

          4. Is \( y=-2 \) a solution of equation \( 3 y+14=12 \) ? If not, find the correct solution.
5. The sum of three prime numbers is 51 . If the largest number exceeds the middle number by 6 , find the three numbers.
6. The quantity of cloth used in making a trouser is 1 m more than the quantity used in making a shirt. If 5 shirts and 10 trousers are made from a cloth of length 55 m , what is the length of cloth used for each shirt and each trouser?
7. The ratio of the length and breadth of a rectangular plot is \( 7: 4 \). The total cost of fencing the plot at a rate of \( ? 100 \) per metre is \( ? 55,00,000 \). What are the dimensions of the plot?
8. The digits of a two-digit number differ by 5. If we interchange the digits and add this number to the original number, we get 121 . Find the original number.
9. The angles of a triangle are in the ratio \( 2: 3: 4 \). Find the measure of each angle.
10. A teacher announced that the highest marks obtained by a student in the class is thrice the lowest marks plus 9. Given that the highest marks obtained is 99 , find the lowest marks.
11. A 50 L water-alcohol solution has 10 L of alcohol. How much water must be added to make the solution \( 8 \% \) diluted.

4. Is y=-2 a solution of equation 3 y+14=12 ? If not, find the correct solution.
5. The sum of three prime numbers is 51 . If the largest number exceeds the middle number by 6 , find the three numbers.
6. The quantity of cloth used in making a trouser is 1 m more than the quantity used in making a shirt. If 5 shirts and 10 trousers are made from a cloth of length 55 m , what is the length of cloth used for each shirt and each trouser?
7. The ratio of the length and breadth of a rectangular plot is 7: 4. The total cost of fencing the plot at a rate of ? 100 per metre is ? 55,00,000. What are the dimensions of the plot?
8. The digits of a two-digit number differ by 5. If we interchange the digits and add this number to the original number, we get 121 . Find the original number.
9. The angles of a triangle are in the ratio 2: 3: 4. Find the measure of each angle.
10. A teacher announced that the highest marks obtained by a student in the class is thrice the lowest marks plus 9. Given that the highest marks obtained is 99 , find the lowest marks.
11. A 50 L water-alcohol solution has 10 L of alcohol. How much water must be added to make the solution 8 % diluted.

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