the age of A is five years more than of B. 5 years ago, the ratio of their ages of 3:2. find their present ages.
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let age of A is X yrs and age of B is (X-5) yrs.5 years ago age of A was (X-5) years and age of B was (X-10) years. by given conditions X-5/X-10=3/2;2X-10=3X-30;-X=-20; X=20 ; age of A is 20 yrs and age of B is 20-5=15 years
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3ratio-2ratio=1ratio----5 years
5 years ago
3*5=15 years
2*5=10 years
Present
20,15 years
5 years ago
3*5=15 years
2*5=10 years
Present
20,15 years
ans-20,20-5=15
20&15:)
ans20,20-5=15
Let us assume that 5 years ago, the age of A was 3x and that of B was 2x, x being the HCF of the two numbers.
Now, the present ages of A & B are (3x+5) and (2x+5) respectively.
Age of A is 5 years more than that of B.
As per the given condition :
(3x+5)-(2x+5)=5
=>x=5
Therefore the present age of A = 3x+5 = 20
The present age of B = 2x+5 = 15.
Hence the solution.
Now, the present ages of A & B are (3x+5) and (2x+5) respectively.
Age of A is 5 years more than that of B.
As per the given condition :
(3x+5)-(2x+5)=5
=>x=5
Therefore the present age of A = 3x+5 = 20
The present age of B = 2x+5 = 15.
Hence the solution.
3:4
Answers
Answered by
319
Let the age of A be 'x' and the age of B be 'y'.
A is five years more than that of B⇒x=y+5-----(1)
5 years ago,the ratio of their ages is 3:2
⇒(x-5)/(y-5)=3/2
⇒2x-10=3y-15
⇒2x-3y=-5------(2)
Substituting (1) in (2),
⇒2(y+5)-3y=-5
⇒2y+10-3y=-5
⇒-y=-15
⇒y=15.
From (1),x=y+5
⇒x=15+5
⇒x=20.
∴A is 20 years old and B is 15 years old.
A is five years more than that of B⇒x=y+5-----(1)
5 years ago,the ratio of their ages is 3:2
⇒(x-5)/(y-5)=3/2
⇒2x-10=3y-15
⇒2x-3y=-5------(2)
Substituting (1) in (2),
⇒2(y+5)-3y=-5
⇒2y+10-3y=-5
⇒-y=-15
⇒y=15.
From (1),x=y+5
⇒x=15+5
⇒x=20.
∴A is 20 years old and B is 15 years old.
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Answered by
450
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Let The present age of B be X years.
Then the age of A = ( X + 5) years.
Before Five years age of A = ( X +5 - 5) = X years.
Before Five years age of B = ( X -5) years.
According to question ,
A : B = 3:2
X / X -5 = 3/2
2 ( X )= 3 ( X -5)
2X = 3X -15
3X - 2X = 15
X = 15 years.
Present age of B = X = 15 years
And,
Present age of A = X +5 = 15+5 = 20 years.
★ HOPE IT WILL HELP YOU ★
Let The present age of B be X years.
Then the age of A = ( X + 5) years.
Before Five years age of A = ( X +5 - 5) = X years.
Before Five years age of B = ( X -5) years.
According to question ,
A : B = 3:2
X / X -5 = 3/2
2 ( X )= 3 ( X -5)
2X = 3X -15
3X - 2X = 15
X = 15 years.
Present age of B = X = 15 years
And,
Present age of A = X +5 = 15+5 = 20 years.
★ HOPE IT WILL HELP YOU ★
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