Question

the ratio of the ages of Mr Rajendra and Rahul is 7:2 after 8 years their ages will be in the ratio 8:3 find their present ages​

Answer 1

Answer:

Mr Rajendra=64 years     rahul=24

Step-by-step explanation:

after each 8 years their ratio increases by 1

so,1=8 years and

8:3=8*8:3*8

Answer 2

Answer:

• Age of Mr Rajendra is 56.
• Age of Rahul is 16.

Given:

• Ages of Mr Rajendra and Rahul is 7:2 at present.

• After 8 years, their ages will be in the ratio 8:3.

To calculate:

• Their present ages.

Calculation:

As, their present ages are in the ratio of 7:2. So, let,

• Age of Mr Rajendra be 7x.
• Age of Rahul be 2x.

After 8 years :

• Age of Mr Rajendra = 7x + 8

• Age of Rahul = 2x + 8

According to the question,

• After 8 years, their ages will be in the ratio 8:3.

$\sf { \longrightarrow \: \dfrac{7x+8}{2x+8} = \dfrac{8}{3} }$

$\sf { \longrightarrow \: 3(7x+8) = 8(2x+8)}$

$\sf { \longrightarrow \: 21x+24=16x+64 }$

$\sf { \longrightarrow \: 21x-16x=64-24}$

$\sf { \longrightarrow \: 5x= 40}$

$\sf { \longrightarrow \: x=\dfrac{ 40}{5} }$

$\longrightarrow \boxed{\pmb { \blue{x = 8 }} }\: \: \bigstar$

So, the present ages of Mr Rajendra and Rahul are :

Age of Mr Rajendra :

→ 7x = 7(8) = 56

Age of Rahul :

→ 2x = 2(8) = 16

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