Question

Amol's age is 23 years more than half of Bhavesh's age. Five years ago, sum of their ages was 55 years. Find Bhavesh's present age ​

Answer 1

Present age of Bhavesh is 28 years

Step by step Explanation :

Let the present age of Amol be x

and present age og Bhavesh be y

According to the question :

Amol's age is 23 years more than half of Bhavesh's age.

$\sf\implies\:x=23+\dfrac{y}{2}$

$\sf\implies\:2x=46+y$

$\sf\implies\:2x-y=46...(1)$

Five years ago :

Amol age = x -5

Bhavesh age = y -5

According to the Question :

Five years ago, sum of their ages was 55 years. Then,

$\sf\implies(x-5)+(y-5)=55$

$\sf\implies\:x+y-10=55$

$\sf\implies\:x+y=65$

$\sf\implies\:y=65-x...(2)$

Now , put y = 65- x in equation (1) , Then

$\sf\implies2x-(65-x)=46$

$\sf\implies2x-65+x=46$

$\sf\implies3x=46+65$

$\sf\implies3x=111$

$\sf\implies\:x=\dfrac{111}{3}$

$\sf\implies\:x=37$

Now,put x = 37 in equation (2) , then

$\sf\implies\:y=65-37$

$\sf\implies\:y=28$

Hence ,

• Present age of Amol = x = 37

Present age of Bhavesh = y = 28

Answer 2

Answer:

Present age of Bhavesh is 28 years

Step by step Explanation :

Let the present age of Amol be x

and present age og Bhavesh be y

According to the question :

Amol's age is 23 years more than half of Bhavesh's age.

\sf\implies\:x=23+\dfrac{y}{2}⟹x=23+

2

y

\sf\implies\:2x=46+y⟹2x=46+y

\sf\implies\:2x-y=46...(1)⟹2x−y=46...(1)

Five years ago :

Amol age = x -5

Bhavesh age = y -5

According to the Question :

Five years ago, sum of their ages was 55 years. Then,

\sf\implies(x-5)+(y-5)=55⟹(x−5)+(y−5)=55

\sf\implies\:x+y-10=55⟹x+y−10=55

\sf\implies\:x+y=65⟹x+y=65

\sf\implies\:y=65-x...(2)⟹y=65−x...(2)

Now , put y = 65- x in equation (1) , Then

\sf\implies2x-(65-x)=46⟹2x−(65−x)=46

\sf\implies2x-65+x=46⟹2x−65+x=46

\sf\implies3x=46+65⟹3x=46+65

\sf\implies3x=111⟹3x=111

\sf\implies\:x=\dfrac{111}{3}⟹x=

3

111

\sf\implies\:x=37⟹x=37

Now,put x = 37 in equation (2) , then

\sf\implies\:y=65-37⟹y=65−37

\sf\implies\:y=28⟹y=28

Hence ,

Present age of Amol = x = 37

Present age of Bhavesh = y = 28

Step-by-step explanation:

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