John's father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages will be 58. How old is John now?

Solution

Solution

John^{'} s age is : 8

Solution steps

Translate the problem into an equation:

x + 2 + 5 x + 2 + \frac{x}{2} + 2 = 58

Solve for

x, x + 2 + 5 x + 2 + \frac{x}{2} + 2 = 58 : x = 8

John^{'} s age is : 8

Popular Examples

The area of the rectangle is 63 cm. If the width is 7 cm what is the length? Write an algebraic expression.If 2 tacos and 3 drinks cost 12 and 3 tacos and 2 drinks cost 13 how much does a taco cost?find the future value and interest earned if \$8904.56 is invested for 8 years at 6% compounded, semiannually, and continuously You deposit 3000 in an account earning 4% interest compounded continuously. How much money will you have in the account in 5 years? round to the nearest hundredth.You want to have 100,000 when you retire in 10 years. If you can earn 5% interest compounded monthly, how much would you need to deposit now into the account to reach your retirement goal?