Question

Shreyas is as much younger than Rohit as he is older than Thomas. If sum of ages of Rohit and Thomas is 60 years and their age ratio is 7:5. The age difference between Shreyas and Rohit is​

Answer 1

Answer:

$\bigstar{\bold{Difference=5\:years}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Sum of ages of Rohit and Tomas is 60
• Ratio of their ages is 7 : 5

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Difference of their ages

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ Let Rohit's age be 7x

→ Let Thomas's age be 5x

→ By given,

  7x + 5x = 60

  12x = 60

     x = 60/12

     x = 5

→ Rohit's age = 7 × 5 = 35 years old

→ Thomas's age is 5 × 5 = 25 years old

→ Let Shreyas be z younger than Rohit and z older than Thomas.

→ Hence,

  35 - z = 25 + z

  35 - 25 = 2z

  2z = 10

    z = 5

→ Hence Shreyas's age = 35 - 5 = 30 years old

→ Difference between age of Shreyas and Rohit = 35 - 30 = 5 years.

$\boxed{\bold{Difference=5\:years}}$

$\Large{\underline{\underline{\bf{Verification:}}}}$

→ 7 x + 5 x = 60

  7 × 5 + 5 × 5 = 60

  35 + 25 = 60

   60 = 60

Hence proved.

Answer 2

Answer:

★Difference=5years

Step-by-step explanation:

Given:

Sum of ages of Rohit and Tomas is 60

Ratio of their ages is 7 : 5

ToFind:

Difference of their ages

Solution:

→ Let Rohit's age be 7x

→ Let Thomas's age be 5x

→ By given,

7x + 5x = 60

12x = 60

x = 60/12

x = 5

→ Rohit's age = 7 × 5 = 35 years old

→ Thomas's age is 5 × 5 = 25 years old

→ Let Shreyas be z younger than Rohit and z older than Thomas.

→ Hence,

35 - z = 25 + z

35 - 25 = 2z

2z = 10

z = 5

→ Hence Shreyas's age = 35 - 5 = 30 years old

→ Difference between age of Shreyas and Rohit = 35 - 30 = 5 years.

Difference=5years

Verification:

→ 7 x + 5 x = 60

7 × 5 + 5 × 5 = 60

35 + 25 = 60

60 = 60

Hence proved.