# Question: 24 a mother is currently 7 times older than her...

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24. A mother is currently 7 times older than her son. In 4 years time, she will be 5 times older than her son. Let x and y be the present ages of the son and mother respectively.

a. Use the fact that the mother is currently 7 times older than her son to set up an equation relating x and y (call this Equation 1).

b. Use the fact that the mother will be 5 times older than her son in 4 years time to set up another equation relating x and y (call this Equation 2). Write the equation in the form y = mx + c .

c. First solve for x to find the son's current age. Equation 1 y = 7x Equation 2 y = 5x + 16

d. Now solve for y to find the mother's current age. Equation 1 y = 7x Equation 2 y = 5x + 16