5 years and 3 months
2006-08-10 23:07:52
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answer #1
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answered by Anonymous
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Let us say that will be x years from birth of the newborn.
So the age of the baby then is 0+x = x years old
And the age of the mother then is 21 +x = (21 +x) years old.
x = (1/4)(21 +x)
Clear the fraction, multiply both sides by 4,
4x = 21 +x
4x -x = 21
3x = 21
x = 21/3 = 7
Therefore, 7 years after the birth of the baby, the age of this baby will be 1/4 of her mother's.
Check,
x = 7
21 +x = 21 +7 = 28
7 = (1/4) of 28.
So, OK.
2006-08-10 23:15:04
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answer #2
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answered by Anonymous
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Let's take x as the age of the baby. The age of the mother is
21 +x.
So we have the equation:
x = (21 + x) / 4
4 * x = 21 + x
(4 * x) - x = 21
3 * x = 21
x = 21 / 3 = 7 years (the age of the baby)
Then the age of the mother = 21 + x = 28
7 / 28 = 1 / 4
2006-08-10 23:12:33
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answer #3
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answered by Joseph Binette 3
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7 Years.
Solution: Lets after x years the baby's age is 1/4 of her mother. Mother's age will be 21+x and baby's x, so
21+x = 4*x
3x = 21 which gives x = 7. So the age of baby is 7 and that of mother 28
2006-08-10 23:10:17
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answer #4
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answered by muks320 3
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The age of the child is 7 years old and the age of the mother is 28.
2006-08-11 00:07:27
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answer #5
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answered by Rommel R 2
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Given
21 equal present age of mother
1/4(21 + x) the age of the child when she is 1/4 the age of the mother
x equal present age of the child
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The equation
x = 1/4(21 + x)
4(x) = 4(1/4)(21 + x)
Clearing the fraction. multiplying both sides by 4
4x = 21 + x
-x -x
Subtracting -x from both sides
3x = 21
3x/3 = 21/3
Dividing both sides by 3
x = 7
The answer is 7
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The age of the baby will be 7 years old when the mother is 28 years old
2006-08-10 23:55:05
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answer #6
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answered by SAMUEL D 7
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7 years
2006-08-11 00:41:09
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answer #7
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answered by pragjnesh_reddy 2
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She'll be 7.
Let b = the baby's age.
Mom's age = (b + 21), because she's 21 years older than her child.
b = (1 / 4)(b + 21). [Multiply both sides by 4 to get rid of the fraction.]
4b = (b + 21). [Add -b to both sides to isolate the variable.]
3b = 21. [Divide both sides by 7.]
b = 7. The baby will be 7 years old when her age is 1/4 of her mother's age.
2006-08-10 23:16:43
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answer #8
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answered by Louise 5
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x = future age of baby
21 + x = future age of mother
4x = 21 + x
3x = 21
x = 7
When the child is 7, the mother will be 28. That is 1/4 of her mother's age.
2006-08-11 03:31:30
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answer #9
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answered by jimbob 6
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If, her mother is 21 yrs.old her baby's age is 0. So 7 yrs. after the mother will be 28 and he/she is 7.
7 is 1/4 of 21
2006-08-11 03:16:11
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answer #10
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answered by BJ 2
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let the mother's age be X and the baby's age be Y
when the baby is born; Y = Y0 and X = X0
at Y0 = 0 yr and X0 = 21yr
after 1 yr:
Y1 = Y0 + 1 and X1 = X0 + 1
after 2 yrs:
Y2 = Y0 + 2 and X2 = X0 + 2
then we generalize the equation to:
Yn = Y0 + n and Xn = X0 + n
where 'n' is the number of yrs
Thus, in order for the baby's age to be 1/4 of her/his mom:
Yn/Xn = 1/4
[ Y0 + n ] / [ X0 + n ] = 1/4
[ 0 + n ] / [ 21 + n ] = 1/4
4n = 21 + n
n = 7 yrs
2006-08-10 23:30:37
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answer #11
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answered by AJ 2
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