Question

Age of remya and double the age of sofi added together gives 28 thtee fourth of remya's age added to one fourth of sofi's age given 11 find the age of remya and the age of sofi?​

Answer 1

Answer:

$\huge\mathcal{{\fcolorbox{gold}{gold}{{\color{black}{Remya's \:Age\:12\:Years}}}}}$

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$\huge\mathcal{{\fcolorbox{gold}{gold}{{\color{black}{Sofi's \:Age\:8\:Years}}}}}$

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Answer 2

Answer:—

The age of Remya = 12 years

And the age of Sofi = 8 years

Step-by-step explanation:—

Let the age of Remya be R years.

And age of Sofi be S years.

★ Given that:-

Age of Remya and double the age of Sofi added together gives 28.

→ R + 2S = 28

→ R = 28 - 2S ________(i)

★ Solution:-

Three fourth of Remya's age added to one fourth of Sofi's age gives 11.

→ 3R/4 + S/4 = 11

→ (3R + S)/4 = 11

→ 3R + S = 11 × 4

→ 3R + S = 44

★ Substituting value of R from equation (i):

→ 3(28 - 2S) + S = 44

→ 84 - 6S + S = 44

→ 6S - S = 84 - 44

→ 5S = 40

→ S = 40/5

→ S = 8

∴ Sofi's age = S = 8 years

★ Substituting the value of S in equation (i):

→ R = 28 - (2 × 8)

→ R = 28 - 16

→ R = 12

∴ Remya's age = R = 12 years