Question

the age of Sam and rohit is the ratio5:7 six years laterthe sum of their ages will be84 what are their parents ages​

Answer 1

★ Given info -

• The ages of Sam and Rohit are in the ratio 5 : 7.
• After 6 years, the sum of their ages will be 84.

★ To find -

• Present ages of Sam and Rohit.

Put x in the ratio.

• Present age of Sam = 5x
• Present age of Rohit = 7x

After 6 years their ages

• Age of Sam = 5x + 6
• Age of Rohit = 7x + 6

★ According to question -

Sum of their ages after 6 years is 84.

$\sf\implies (5x + 6) + (7x + 6) = 84 \\ \\ \sf\implies5x + 7x + 6 + 6 = 84 \\ \\ \sf\implies 12x + 12 = 84 \\ \\ \sf\implies 12x = 84 - 12 \\ \\ \sf\implies 12x = 72 \\ \\ \sf\implies \: x = \frac{72}{12} \\ \\ \sf\implies \: x \: = 6$

Put the value of x in the ratio

• Sam's age ➝ 5x ➝ 5 × 6 ➝ 30 years
• Rohit's age ➝ 7x ➝ 7 × 6 ➝ 42 years

Hence, the present ages of Sam and Rohit are 30 years and 42 years respectively.

Answer 2

Given :

➝ The age of Sam and Rohit is the ratio 5:7

➝ Six years later the sum of their ages will be 84

To Find :

➝ Their present age

Solution :

• Let the present age be x

Now , it is given that ages are in ratio of 5 : 7 , according to this :

➝ Age of Sam = 5x

➝ Age of Rohit = 7x

★ Six years later :

➝ Age of Sam = 5x + 6

➝ Age of Rohit = 7x + 6

• According to the question :

➠ (5x + 6) + (7x + 6) = 84

➠ 12x + 12 = 84

➠ 12x = 84 - 12

➠ 12x = 72

➠ x = 72/12

➠ x = 6

• Present age of Sam = 5(6) = 30 years
• Present age of Rohit = 7(6) = 42 years

ᶠⁱⁿᵃˡ ᵃⁿˢ ⁱˢ 30 ʸᵉᵃʳˢ ᵃⁿᵈ 42 ʸᵉᵃʳˢ ʳᵉˢᵖᵉᶜᵗⁱᵛᵉˡʸ

ᵃⁿᵈ ʷᵉ ᵃʳᵉ ᵈᵒⁿᵉ !

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