Question

The ratio between the present ages of A and B is 5:7. If B is 8years older than A, then what will be the ratio of ages of A and B after 4 years? ​

Answer 1

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

$\:\:$

$\large{\green{\underline \bold{\tt{Given :-}}}}$

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• The ratio between the present ages of A and B is 5:7

$\:\:$

• B is 8 years older than A

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$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

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• Ratio of ages of A and B after 4 years

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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• Let the present age of A be 5x

• Let the present age of B be 7x

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$\purple{\underline \bold{According \: to \: the \ question :}}$

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B is 8 years older than A

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So,

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➜ 7x = 5x + 8

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➜ 7x - 5x = 8

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➜ 2x = 8

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➜ $\sf x = \dfrac { 8 } { 2 }$

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➨ x = 4

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$\underline{\bold{\texttt{So the present ages will be :}}}$

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• A = 5x = 5(4) = 20

• B = 7x = 7(4) = 28

$\:\:$

• Hence the present ages of A & B is 20 years and 28 years respectively

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$\underline{\bold{\texttt{A's age after 4 years :}}}$

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➜ 20 + 4

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➨ 24

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$\underline{\bold{\texttt{B's age after 4 years :}}}$

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➜ 28 + 4

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➨ 32

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$\underline{\bold{\texttt{Ratio of ages of A and B after 4 years :}}}$

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➜ 24 : 32

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➜ $\sf \dfrac { 24 } { 32 }$

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⟮ Dividing the numerator & denominator by 8 ⟯

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➜ $\sf \dfrac { 3 } { 4 }$

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Or ,

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➨ 3:4

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∴ The ratio of ages of A and B after 4 years is 3:4

Answer 2

Step-by-step explanation:

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\huge{\blue{\bold{\underline{\underline{Answer :}}}}}

Answer:

\:\:

\large{\green{\underline \bold{\tt{Given :-}}}}

Given:−

\:\:

The ratio between the present ages of A and B is 5:7

\:\:

B is 8 years older than A

\:\:

\large{\red{\underline \bold{\tt{To \: Find :-}}}}

ToFind:−

\:\:

Ratio of ages of A and B after 4 years

\:\:

\large{\orange{\underline{\tt{Solution :-}}}}

Solution:−

\:\:

Let the present age of A be 5x

Let the present age of B be 7x

\:\:

\purple{\underline \bold{According \: to \: the \ question :}}

Accordingtothe question:

\:\:

B is 8 years older than A

\:\:

So,

\:\:

➜ 7x = 5x + 8

\:\:

➜ 7x - 5x = 8

\:\:

➜ 2x = 8

\:\:

➜ \sf x = \dfrac { 8 } { 2 } x=

2

8

\:\:

➨ x = 4

\:\:

\underline{\bold{\texttt{So the present ages will be :}}}

So the present ages will be :

\:\:

A = 5x = 5(4) = 20

B = 7x = 7(4) = 28

\:\:

Hence the present ages of A & B is 20 years and 28 years respectively

\:\:

\underline{\bold{\texttt{A's age after 4 years :}}}

A’s age after 4 years :

\:\:

➜ 20 + 4

\:\:

➨ 24

\:\:

\underline{\bold{\texttt{B's age after 4 years :}}}

B’s age after 4 years :

\:\:

➜ 28 + 4

\:\:

➨ 32

\:\:

\underline{\bold{\texttt{Ratio of ages of A and B after 4 years :}}}

Ratio of ages of A and B after 4 years :

\:\:

➜ 24 : 32

\:\:

➜ \sf \dfrac { 24 } { 32 }

32

24

\:\:

⟮ Dividing the numerator & denominator by 8 ⟯

\:\:

➜ \sf \dfrac { 3 } { 4 }

4

3

\:\:

Or ,

\:\:

➨ 3:4

\:\:

∴ The ratio of ages of A and B after 4 years is 3:4