Question

the age of Sam and rohit is in the ratio 5:7 six years later the sum of their ages will be 84 what are their present ages​

Answer 1

Answer:

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Answer:

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

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The ages of Rahul and Haroon are in the ratio 5:7

Let Rahul’s present age=5x

Haroon present age=7x

Four years later the sum of their ages will be 56 years. So according to the condition,

(5x+4)+(7x+4)=56

12x+8=56

12x=56–8

12x=48

x=48/12

x=4

Therefore Rahul’s present age =5*4=20years

Haroon’s present age=7*4=28years

Answer 2

• Given

• Ratio of ages of Sam and Rohit = 5 : 7
• The sum of their ages after 6 years = 84

• To find

• The present age of Sam and Rohit

• Solution

Let the present age of Sam and Rohit be 5x and 7x respectively.

Their ages after six years -

• Sam's age = 5x + 6
• Rohit's age = 7x + 6

According to the question,

⟶ 5x + 6 + 7x + 6 = 84

⟶ 12x + 12 = 84

⟶ 12x = 84 - 12

⟶ 12x = 72

⟶ x = 72/12

⟶ x = 6

The value of x = 6

Their ages -

• Present age of Sam = 5x = 5 × 6 = 35 years
• Present age of Rohit = 7x = 7 × 7 = 49 years

________________________________

Let's verify -

Put the value of x in 5x + 6 + 7x + 6 = 84

LHS

⟶ 5 × 6 + 6 + 7 × 6 + 6

⟶ 30 + 6 + 42 + 6

⟶ 84

LHS = RHS

Hence, verified.