Question

Write an equation for each problem then solve it.

1. Lucas is twice as old as Mark. Their combined age is 24 years. How old is each boy?

2. Paul worked 7 more problems than Jared. Together they worked 55 problems. How many did each boy worked?

Answer 1

Step-by-step explanation:

1) Let Mark's age be x years.

Then, Lucas's age will be = 2*x = 2x.

According to the question,

2x + x = 24

→ 3x = 24

→ x = 24/3

→ x = 8

Therefore,

Mark's age = 8 years

Lucas's age = 2 x 8 years

= 16 years.

Ans:- Mark's age is 8 years and Lucas's age is 16 years.

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2) Let Jared solved x problems.

Then, Paul solved = x + 7 problems.

According to the question,

(x+7)+x = 55

→2x + 7 = 55

→2x = 55 - 7

→ 2x = 48

→ x = 48/2

→ x = 24

Therefore,

Jared worked 24 problems.

Paul worked 24 + 7 = 31 problems

Ans:- Jared worked 24 problems and Paul worked 31 problems.