Question

the ages of ganesh and Rakesh are in the ratio 3:5. five years later the sum of the sum of the ages will be 74 years .what are there present age​

Answer 1

Step-by-step explanation:

The ratio of Hari's and Harry's present ages is 5:7

So, let their ages be 5x and 7x

After 4 years their ages will be in ratio 3:4

Therefore,(5x+4)/(7x+4)=3/4

or, 4(5x+4)=3(7x+4)

or, 20x+16=21x+12

or, 16−12=21x−20x

or, 4=1x

or, x=4

Therefore, present age of Hari = 5x=(5×4)=20 years.

Present age of Harry =7x=(7×4)=28 years

The sum of their age is 28+20=48years

Answer 2

• Given

• Ages of Ganesh and Rakesh are given in ratio = 3:5
• Sum of their ages after 5 years = 74 years

• To find

• The present ages of Ganesh and Rakesh

• Solution

Let the age of Ganesh and Rakesh be 3x and 5x respectively.

$\green{\bigstar}$ Five years later -

Their ages -

• Ganesh's age = 3x + 5
• Rakesh's age = 5x + 5

$\red{\bigstar}$ According to the question,

: $\implies$ 3x + 5 + 5x + 5 = 74

: $\implies$ 8x + 10 = 74

: $\implies$ 8x = 74 - 10

: $\implies$ 8x = 64

: $\implies$ x = $\sf{\dfrac{64}{8}}$

: $\implies$ x = 8

• The value of x = 8

$\red{\bigstar}$Their present ages -

• Ganesh's age = 3x + 5 = 3 × 8 = 24
• Rakesh's age = 5x + 5 = 5 × 8 = 40

$\green{\bigstar}$ $\large{\boxed{\sf{\red{Ganesh's~age~=~24~years}}}}$

$\green{\bigstar}$ $\large{\boxed{\sf{\red{Rakesh's~age~=~40~years}}}}$

━━━━━━━━━━━

Verify -

: $\implies$ 3x + 5 + 5x + 5 = 74

: $\implies$ 3 × 8 + 5 + 5 × 8 + 5

: $\implies$ 24 + 5 + 40 + 5

: $\implies$ 74

•°• LHS = RHS

$\blue{\bigstar}$ Hence, verified.