3x +5 = 2x +15
Subtract 5 from both sides:
3x = 2x + 10
Subtract 2x from both sides:
X = 10
Answer:
1. 11/2
2. 4 and 1/6
3. 5 and 1/12
4. 41/8
5. 113/24
6. 32/3
Step-by-step explanation:
There are several ways to confirm that the two expressions are equal. One method is to simply factor the first expression and see it you get a result equal to the second expression. An easier method is to set a value for x and substitute it to the two expressions. If the resulting value is that same, this means that the two expressions are equal.
Answer:The present age of both of them are Christopher = 42 years, and Ishaan = 84 years.
Step-by-step explanation: Solution:
Let present age of:
Christopher =
x
yrs
Ishaan =
2
x
yrs ( given that Ishaan is 2 times as old as Christopher)
35 yrs ago:
Age of Christopher = (
x
- 35)yrs
Age of Ishaan = (
2
x
- 35) yrs
According to question, 35 yrs back, Ishaan was 7 times older than Christopher.
Therefore
7 X (
x
- 35) = (
2
x
- 35)
7
x
- 245 =
2
x
- 35
7
x
-
2
x
= 245 - 35
5
x
= 210
x
= 42
So present age of Christopher =
x
= 42 yrs
&
Present age of Ishaan =
2
x
= 84 yrs
Check your solution:
As 84 is 2 times of 42 so Ishaan is 2 times older than Christopher.
35 yrs ago, Christopher was (42 - 35) = 7 yrs old and Ishaan was (84 - 35) = 49 yrs old so Ishaan was 7 times older than Christopher then.
