Question

The present ages of Ram and Rahman are in the ratio 8:9 after 5 years the ratio of their ages will be 9:10 find their present ages.
Please give explanation.​​

Answer 1

Answer:

Step-by-step explanation:

The present age of ram & Rahman =8:9

The present age of ram =8x

The present age of Rahman=9x

After 5 years the ratio of their ages=9:10

After 5 years the age of ram=9x

After 5 years the age of Rahman=10x

8x+5+9x+5=9x+10x

17x+10=19x

10=19x-17x

10=2x

x=10/2=5

The present age of ram=8x=8×5=40

The present age of Rahman=9x=9×5=45

After 5 years the age of ram=9x=9×5=45

After 5 years the age of Rahman=10x=10×5=50

Answer 2

Answer:

The present age of Ram is 40 years

The present age of Rahman is 45 years

Step-by-step explanation:

Let,

The present age of Ram = 8x

The present age of Rahman = 9x

After 5 years,

The age of Ram = 8x + 5

The age of Rahman = 9x + 5

Also,

The ratio of their ages will be 9 : 10

So,

⇒ $\tt{\dfrac{8x \: + \: 5}{9x \: + \: 5} \: = \: \dfrac{9}{10}}$

⇒ 10 (8x + 5) = 9 (9x + 5)

⇒ 80x + 50 = 81x + 45

⇒ 80x - 81x = 45 - 50

⇒ - 1x = - 5

⇒ x = 5

___________________________

★ Value of 8x:

⇒ 8 (5)

⇒ 8 × 5

⇒ 40

____________________________

★ Value of 9x:

⇒ 9 (5)

⇒ 9 × 5

⇒ 45

Therefore,

The present age of Ram is 40 years

The present age of Rahman is 45 years