The ratio of the present ages of Anupama and her mother is 1 : 7. After 2 years, the ratio become 2:11. Find their present ages.
Answers
Answer:
Let the present age of Anu is 4x. Then, the present age of Raj will be 5x.
8 years from now,
4x+85x+8=56
24x+48=25x+40
x=8
so, Present age of Anu is 32 years and present age of Raj is 40 years.
Answer:
Present age of Anupama is 6 years.
Present age of her mother is 42 years.
Step-by-step explanation:
Given :
Ratio of present ages of Anupama and her mother is 1:7 .
After 5 years, ratio is 2:11.
To find :
Present ages of Anupama and her mother.
Solution :
Let, Present age of Anupama be 1x or x .
And, Present age of her mother be 7x .
After 2 years :
Anupama's age = x + 2
Her mother age = 7x + 2
Ratio of their ages after 2 years is 2:11. So,
\implies \sf \dfrac{x + 2}{7x + 2} = \dfrac{2}{11}⟹
7x+2
x+2
=
11
2
\implies \sf 11 \times (x + 2) = 2 \times (7x + 2)⟹11×(x+2)=2×(7x+2)
\implies \sf 11x + 22 = 14x + 4⟹11x+22=14x+4
\implies \sf 11x + 22 - 4 = 14x⟹11x+22−4=14x
\implies \sf 11x + 18 = 14x⟹11x+18=14x
\implies \sf 18 = 14x - 11x⟹18=14x−11x
\implies \sf 18 = 3x⟹18=3x
\implies \sf \dfrac{18}{3} = x⟹
3
18
=x
\implies \pmb{\sf x = 6}⟹
x=6
x=6
Anupama's age = x = 6 years.
Her mother age = 7x = 7 × 6 = 42 years.
Thus,
Present age of Anupama is 6 years and Present age of her mother is 42 years.