Sasha is 8 years older than Rei. The sum of their ages is 14. Find the ages of Sasha and Rei.
Let x be the Rei's age
Then let 8 + x Sasha's age
The sum of their ages is 14.
Solve the value of x to the problem equations.
Substitute the Sasha's age to the present age which is the value of x to the solving the problem equation.
Checking the age's if the answer is correct.
∴ Therefore, the present age of Rei is 3 yrs old and Sasha is 11 yrs old.
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Tina is 3 years younger than Tom. The sum of their ages is 20. How old is Tom?
Let x be the Tom's age
Then let 3 + x Tina's age
The sum of their ages is 20
Substitute the Tina's age to the present age which is the value of x to the solving the problem equation.
∴ Therefore, the present age of Tom is 8.5 yrs old and James is 11.5 yrs old.
The product of two consecutive numbers is 20. What are the numbers?
Let x be the first consecutive number
Then let x + 1 be the second consecutive number
The product of two consecutive numbers is 20
The positive consecutive number is:
The first integer is 4, then substitute the second integers.
Checking the consecutive numbers if the answer is correct.
∴ Thus, the 4 and 5 are three consecutive number whose product is 20.
#CarryOnLearning
1. Sasha is 8 years older than Rei. The sum of their ages is 14. Find the ages of Sasha and Rei.
Solution
Let:
Form Equations.
Find S and R.
Using Substitution:
Sasha's age:
Answer
2. Tina is 3 years older than Tom. The sum of their ages is 20. How old is Tom?
Form equations
Find Tom's age (B).
3. The product of two consecutive numbers is 20. What are the two numbers?
Form equation
Solve for x.
Let's use the positive root.
Find the larger number.
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Answers & Comments
Problem no. 1:
Sasha is 8 years older than Rei. The sum of their ages is 14. Find the ages of Sasha and Rei.
Solution:
Let x be the Rei's age
Then let 8 + x Sasha's age
The sum of their ages is 14.
Solve the value of x to the problem equations.
Substitute the Sasha's age to the present age which is the value of x to the solving the problem equation.
Checking the age's if the answer is correct.
Answer:
∴ Therefore, the present age of Rei is 3 yrs old and Sasha is 11 yrs old.
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Problem no. 2:
Tina is 3 years younger than Tom. The sum of their ages is 20. How old is Tom?
Solution:
Let x be the Tom's age
Then let 3 + x Tina's age
The sum of their ages is 20
Solve the value of x to the problem equations.
Substitute the Tina's age to the present age which is the value of x to the solving the problem equation.
Checking the age's if the answer is correct.
Answer:
∴ Therefore, the present age of Tom is 8.5 yrs old and James is 11.5 yrs old.
═════════════════════════
Problem no. 3:
The product of two consecutive numbers is 20. What are the numbers?
Solution:
Let x be the first consecutive number
Then let x + 1 be the second consecutive number
The product of two consecutive numbers is 20
Solve the value of x to the problem equations.
The positive consecutive number is:
The first integer is 4, then substitute the second integers.
Checking the consecutive numbers if the answer is correct.
Answer:
∴ Thus, the 4 and 5 are three consecutive number whose product is 20.
#CarryOnLearning
1. Sasha is 8 years older than Rei. The sum of their ages is 14. Find the ages of Sasha and Rei.
Solution
Let:
Form Equations.
Find S and R.
Using Substitution:
Sasha's age:
Answer
2. Tina is 3 years older than Tom. The sum of their ages is 20. How old is Tom?
Solution
Let:
Form equations
Find Tom's age (B).
Using Substitution:
Answer
3. The product of two consecutive numbers is 20. What are the two numbers?
Solution
Let:
Form equation
Solve for x.
Let's use the positive root.
Find the larger number.
Answer