Question

the ages of ajay and vijay at the ratio of 4:5 after 5 years later the sum of their ages will be 118 find their present ages​

Answer 1

Step-by-step explanation:

Given that the ages of ajay and vijay at the ratio of 4:5 and after 5 years later the sum of their ages will be 118.

We need to find out their present ages.

Let's say the present age of Ajay be 4x and of Vijay be 5x years.

After 5 years:

• Age of Ajay = (4x + 5) years
• Age of Vijay = (5x + 5) years

Sum of their ages after 5 years is 118.

As per given statement,

→ 4x + 5 + 5x + 5 = 118

→ 9x + 10 = 118

→ 9x = 118 - 10

→ 9x = 108

→ x = 12

So,

Present age of Ajay = 4x = 4(12) = 48 years

Present age of Vijay = 5x = 12(5) = 60 years

Therefore, the present age of Ajay is 48 years and of Vijay is 60 years.

Answer 2

$\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\red{W}\green{E} \purple{R}}}$

$let \: there \: present \: ages \: be \: 4x,5x$

$therefore \: after \: 8 \: years there \: ages \: will \: be \: 4x+8,5x+8$

$given \: 4x \: +8:5x+8=5:6$

$⇒6(4x+8)=5(5x+8)$

$therefore \: x=8$

$so \: there \: present \: ages \: are \: 32,40$