Last year lily was 3 times younger than Fred, and next year Lily will be three times younger than Ivan. This year Fred was 2 times younger than Ivan. How old will be Lilly when Ivan turns 10 years old ?
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Answers
His sister’s age is 2
2
x
His father’s age is +25
x
+
25
Also from the question, we have:
+2++25=53⇒4=53−25=28⇒=7
x
+
2
x
+
x
+
25
=
53
⇒
4
x
=
53
−
25
=
28
⇒
x
=
7
⇒7+25=32
⇒
7
+
25
=
32
Answers:
Andy is 7
His father age is 32
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Lilly will be 4 years old when Ivan is 10 years old.
Step-by-step explanation
Let the current ages of Lilly, Fred and Ivan be x,y and z respectively.
Lilly was 3 times younger than Fred last year,
3(x-1)= y-1
3x-3= y-1
3x= 2+y-----(1)
Now, Lilly will be three times younger than Ivan next year, so
3(x+1) = z+1
3x+3= z+1
3x= z-2-------(2)
For, the current year:
2y = z------(3)
To find= Lilly's age when Ivan's age is 10
Equating equation 1 and 2, we get:
2+y= z-2
z= 4 +y
Plugging the value of z in equation 3:
2y= 4+y
y= 4 years
Putting the value of y in equation 3:
2x 4= z
z= 8 years
Plugging the value of z in equation 1:
3x= 8-2
3x= 6
x= 2 years
Thus, the current age of Lilly, Fred and Ivan are 2, 4 and 8 years respectively.
Now, the age of Lilly when z= 10 years
After Ib=van will be 10 years old after 2 years, so lilly will be 2+2 =4 years old when Ivan is 10.
Result:
Lilly will be 4 years old when Ivan is 10 years old.
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