Ten years ago, a father was five times as old as his son. their combined age now is 80.find the age of the son

The son is now 20. The father is now 60

Step-by-step explanation:

The son was 10, ten years ago. Five times that was 50 years, the age of the father. Now they have both aged 10 years, and the son is 20 and the father is 60. Add them together, and it makes 80.

CAN EXPLAIN FURTHER

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20 years old

Step-by-step explanation:

10 → Ten years ago

50 → The father was five times as old as his son.

Current Ages

20 → Son

60 → Father

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is