Wiley Edge Ages Quiz-4

Solution: The ratio of present age of Naveena and her son’s age = 4 : 1 (4x, x)
Naveena’s present age = (2/5)*Naveena’s father’s present age
Naveena’s father’s present age = 10x
According to the question,
x + 4x + 10x = 120
15x = 120; x = 120/15; x = 8
Naveena’s father’s present age = 10x = 80 years
Naveena’s son’s present age = x = 8 years
Required sum = 80 + 8 = 88 years

Solution: By the given information, we can solve for the present ages of the father and son.
Let F represent the father's present age and S represent the son's present age.
From the given information, we have two equations:
F+S= 52 (sum of their ages is 52)--1
F-5= 4(S-5) (father's age five years ago was four times the son's age five years ago)--2
Solving these equations, we find that the son is 13 years old (S13) and the father is 39 years old (F = 39).
Therefore, the father's present age is 39 years and the son's present age is 13 years.

Solution: F = 3S -- Equation 1
F+S=48--Equation 2
Substituting Equation 1 into Equation 2, we get: 35+S=48
Combining like terms, we have : 45 = 48
Dividing both sides by 4, we find:
S=12
Substituting the value of S back into Equation 1, we have:
F=3*12
Simplifying further, we get
F=36
So, their present ages are12 and 36.

Solution: Let's assume the age of the younger sister as Y.
Given: The ratio of the present ages of two sisters is 34: Y/O = 3/4 2. The older sister is 24 years old: 0=24
Solving the equation:
Multiply both sides of the ratio equation by 4. 4Y=30
Substitute O=24 into 4Y = 30:
4Y=3*24 4Y=72
Y=72/4
Y=18
Therefore, the age of the younger sister is 18 years

Solution: Let's assume the ages of the three friends as 2x, 3x, and 4x.
Given: The ages of three friends are in the ratio 2:34: A:B:C=2:34
The sum of their ages is 54: 2x+3x+4x=54
Solving the equation: 2x+3x+4x=54
9x=54
x=54/9
x=6
Substitute x=6 into 2x, 3x, and 4x:
2x=2*6=12
3x=3*6=18
4x=4*6=24
Therefore, the ages of the three friends are 12, 18, and 24

Solution: Let's assume the daughter's present age as D and the mother's present age as M.
Given: 1. The present age of the mother is four times the age of her daughter: M = 4D
2. Five years ago, the mother's age was five times the age of the daughter: M-5=5(D-5)
Solving the equations: From equation 2:
M-5 = 5D - 25
M=5D-25+5
M=5D-20
Substitute M = 4D into M = 5D-20:
4D=5D-20
D=20

Solution: Let's assume the sum of the grandchildren's ages as S and the grandfather's present age as G.
Given: 1. The present age of a grandfather is three times the sum of the ages of his two grandchildren: G = 35
2. The sum of the grandchildren's ages is 15:S=15
Solving the equations: Substitute S = 15 into G = 35:
G=3*15
G=45
Therefore, the grandfather's present age is 45 years.

Solution: Let the age of Asha and Nithi be x and y respectively, x*y = 540
2*x = y + 6
X = (y + 6)/2
\frac{(y + 6)}{2}*y = 540
Y2 + 6y = 1080
Y2 + 6y – 1080 = 0
(y – 30) (y + 36) = 0
Y = 30, -36 (-36 will be eliminated)
Asha’s age = 540/30 = 18 years

Solution: Let's assume Jose's current age as "J" and Pearl's current age as "P". According to the given information:
1. Three years from now, Jose will be 38 years old: J+3=38
2. In 13 years, the sum of Jose and Pearl's ages will be 83: (J+13)+(P+13)=83
To find Pearl's current age, we need to solve these equations.
From equation 1, we can determine Jose's current age: J=38-3; J=35
Now we substitute Jose's age in equation 2 and solve for Pearl's age: (35+13)+(P+13)=83
48+P+13=83
P+61=83; P=83-61; P=22
Therefore, Pearl is currently 22 years old.

Solution: Let's assume Miguel's current age as "M" and Barny's current age as "B". According to the given information:
1. Ten years from now, Miguel will be twice as old as Barny: M+10=2(B+10)
2. The current sum of Miguel and Barny's ages is 50: M+B=50
To find Barny's current age, we need to solve these equations.
From equation 2, we can express Miguel's age in terms of Barny's age:M=50-B
Now we substitute this expression in equation 1 and solve for Barny's age:
50-B+10=2(B+10) 60-8=28+20
60-20=2B+B
40=3B;
B=40/3;
B= 13.33
Barny is approximately 13 years old right now.