Solve each questions by age equation problem:

1. Jonathan is 3 years older than Alvin. In 7 years, Alvin's age will be 6/7 of Jonathan's age. How old are they now?

2. The present age of Ella's mother is three times that of Ella. After 5 years. Sum of their ages would be 70 years. Find their present ages.

Thank you :))

J = A+3

A+7 = 6/7(J+7)

Substitute A+3 for J in the second equation to solve for A. Put A value in first equation to solve for J.

M = 3E

M+5 + E + 5 = 70

Use similar process.

Sure! Let's solve each question step by step using age equation problems:

1. Jonathan is 3 years older than Alvin. In 7 years, Alvin's age will be 6/7 of Jonathan's age. How old are they now?

Let's assume Alvin's current age as x.

According to the given information, Jonathan is 3 years older than Alvin, so Jonathan's current age would be x+3.

In 7 years, Alvin's age will be x+7, and Jonathan's age will be (x+3)+7 = x+10.

The problem states that Alvin's age in 7 years will be 6/7 of Jonathan's age, so we can set up the equation:
x+7 = (6/7)(x+10)

To solve this equation, we can multiply both sides by 7 to eliminate the fraction:
7(x+7) = 6(x+10)
7x + 49 = 6x + 60

Next, arrange the equation to find the value of x:
7x - 6x = 60 - 49
x = 11

Therefore, Alvin's current age (x) is 11 years old, and Jonathan's current age (x+3) is 14 years old.

2. The present age of Ella's mother is three times that of Ella. After 5 years, the sum of their ages would be 70 years. Find their present ages.

Let's assume Ella's current age as x.

According to the given information, Ella's mother's age is three times Ella's age, so her current age would be 3x.

After 5 years, Ella's age will be x+5, and her mother's age will be 3x+5.

The problem states that the sum of their ages after 5 years would be 70, so we can set up the equation:
(x+5) + (3x+5) = 70

To solve this equation, we can simplify the equation:
4x + 10 = 70

Next, arrange the equation to find the value of x:
4x = 70 - 10
4x = 60
x = 15

Therefore, Ella's current age (x) is 15 years old, and her mother's current age (3x) is 45 years old.

I hope this helps! Let me know if you have any further questions.