Rithvik's Blog 11+

A jar contains some red, blue, and green marbles. There are twice as many red marbles as blue marbles, and 6 fewer green marbles than red marbles. Altogether, there are 54 marbles in the jar. How many marbles of each colour are there?

I think of a number. I multiply it by 4, then subtract 6. The result is the same as if I had doubled the number and added 10. What was the number I originally thought of?

Sam had some marbles. He gave 1/3 of them to his friend Lucy. Then he lost 12 marbles on the way home. In the end, he had 16 marbles left. How many marbles did Sam have at the start?

Two numbers, A and B, satisfy the following conditions: The sum of A and B is 30. If you double A and subtract B, you get 10. What are the values of A and B?

A number is tripled and then 7 is added to the result. The final answer is the same as if the number were doubled and then 13 was added. What is the number?

A number is increased by 3 and then multiplied by 4. The result is the same as if the number were first multiplied by 2 and then increased by 28. What is the number?

Lena has 3 times as many sweets as Tom. After Lena gives 12 sweets to Tom, she now has twice as many sweets as he does. How many sweets did Lena and Tom each have at the start?