Half the square of number is five times that number. Find number. (& 4 others)

[michelleabellan]

• Half the square of a number is the same as five times the number. What is the number?
• The sum of two numbers is 47 and the difference between the numbers is 37. What are the numbers?
• A student’s age is such that in 15 years’ time, she will be twice the age she was 10 years ago. How old is the student now?
• £100 invested in a small savings account increases by 2% each year. After 2 years the interest is £4.04… is this true?
• If the sides of a square are each increased by 10% the area will increase by 21%. True or false?

 

[Dr.Peterson]

• Half the square of a number is the same as five times the number. What is the number?
• The sum of two numbers is 47 and the difference between the numbers is 37. What are the numbers?
• A student’s age is such that in 15 years’ time, she will be twice the age she was 10 years ago. How old is the student now?
• £100 invested in a small savings account increases by 2% each year. After 2 years the interest is £4.04… is this true?
• If the sides of a square are each increased by 10% the area will increase by 21%. True or false?

What help do you need with these? Did you at least make an attempt at writing equations, assuming these are meant to be solved by algebra? If so, please show them.

 

[stapel]

1. Half the square of a number is the same as five times the number. What is the number?

2. The sum of two numbers is 47 and the difference between the numbers is 37. What are the numbers?

To learn how to set up and solve "number" type exercises, please try here.

3. A student’s age is such that in 15 years’ time, she will be twice the age she was 10 years ago. How old is the student now?

To learn how to set up and solve "age" type exercises, please try here.

4. £100 invested in a small savings account increases by 2% each year. After 2 years the interest is £4.04… is this true?

To learn how to set up and solve "investment" type exercises, please try here.

5. If the sides of a square are each increased by 10% the area will increase by 21%. True or false?

To learn how to set up and solve "geometry" type exercises, please try here.