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Harley is 8 years younger than India.
Jessica is three times older than Harley.
The sum of the three ages is 88.
Write the ratio of Jessica's age to India's age.

Sagot :

Using a system of equations, it is found that the ratio of Jessica's age to India's age is of 2.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Harley's age.
  • Variable y: India's age.
  • Variable z: Jessica's age.

Harley is 8 years younger than India, hence:

x = y - 8.

Jessica is three times older than Harley, hence:

z = 3x.

The sum of the three ages is 88, hence:

x + y + z = 88.

x + x + 8 + 3x = 88

5x = 80

x = 16.

Hence:

y = x + 8 = 24.

z = 3x = 48

The ratio of Jessica's age to India's age is given by:

z/y = 48/24 = 2.

More can be learned about a system of equations at https://brainly.com/question/24342899