Guest
Guest
Feb 05, 2025
10:42 PM
|
Let's solve this step by step:
Step 1: Define the variables
Let the ages of A, B, and C four years ago be:
Visit
A's age =
??
x
B's age =
2
??
2x
C's age =
3
??
3x
Step 2: Account for the current ages
Their present ages will be:
A's present age =
??
+
4
x+4
B's present age =
2
??
+
4
2x+4
C's present age =
3
??
+
4
3x+4
Step 3: Use the given total
The sum of their present ages is 92 years:
(
??
+
4
)
+
(
2
??
+
4
)
+
(
3
??
+
4
)
=
92
(x+4)+(2x+4)+(3x+4)=92
Step 4: Simplify the equation
??
+
4
+
2
??
+
4
+
3
??
+
4
=
92
x+4+2x+4+3x+4=92
6
??
+
12
=
92
6x+12=92
Step 5: Solve for
??
x
6
??
=
92
?
12
6x=92?12
6
??
=
80
6x=80
??
=
80
6
=
13.33
??
(This value isn’t feasible for exact ages)
.
x=
6
80
?
=13.33(This value isn’t feasible for exact ages).
Could you verify the input? It seems there might be a slight mismatch—ratios requiring integer divisible
You said:
Answers are 20.5,18.6,17.3,14.8
ChatGPT said:
Let's recheck the problem step by step to match the provided options.
Step 1: Define variables
Let the ages of A, B, and C four years ago be:
A's age =
??
x
B's age =
2
??
2x
C's age =
3
??
3x
Their present ages are:
A's present age =
??
+
4
x+4
B's present age =
2
??
+
4
2x+4
C's present age =
3
??
+
4
3x+4
Step 2: Use the total sum of ages
The total sum of their present ages is
92
92:
(
??
+
4
)
+
(
2
??
+
4
)
+
(
3
??
+
4
)
=
92
(x+4)+(2x+4)+(3x+4)=92
Step 3: Simplify
??
+
4
+
2
??
+
4
+
3
??
+
4
=
92
x+4+2x+4+3x+4=92
6
??
+
12
=
92
6x+12=92
6
??
=
80
6x=80
??
=
80
6
=
13.33
x=
6
80
?
=13.33
Step 4: Calculate present ages
A's present age =
??
+
4
=
13.33
+
4
=
17.33
x+4=13.33+4=17.33
B's present age =
2
??
+
4
=
2
(
13.33
)
+
4
=
26.67
+
4
=
30.67
2x+4=2(13.33)+4=26.67+4=30.67
C's present age =
3
??
+
4
=
3
(
13.33
)
+
4
=
40
+
4
=
44
3x+4=3(13.33)+4=40+4=44.
The exact sum of
??
,
??
,
A,B, and (C matches none matches clarification.
You said:
Sum of present ages of A,B,C is 92 years. If 4 years ago, the ratio of their ages were 1:2:3 respectively, find A's present age?
ChatGPT said:
Let’s solve this step-by-step correctly to match the options.
Step 1: Define the ages 4 years ago
Let the ages of A, B, and C 4 years ago be
??
,
2
??
,
x,2x, and
3
??
3x, respectively (since the ratio is
1
:
2
:
3
1:2:3).
Step 2: Express their present ages
A's present age =
??
+
4
x+4
B's present age =
2
??
+
4
2x+4
C's present age =
3
??
+
4
3x+4
Step 3: Use the sum of their present ages
The sum of their present ages is given as
92
92:
(
??
+
4
)
+
(
2
??
+
4
)
+
(
3
??
+
4
)
=
92
(x+4)+(2x+4)+(3x+4)=92
Step 4: Simplify the equation
??
+
4
+
2
??
+
4
+
3
??
+
4
=
92
x+4+2x+4+3x+4=92
6
??
+
12
=
92
6x+12=92
6
??
=
92
?
12
6x=92?12
6
??
=
80
6x=80
??
=
80
6
=
13.33
x=
6
80
?
=13.33
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