Question

Age of Remya and double the age of Sofi added together gives 28. Three-fourth of Remya's age added to one-fourth of Sofi's age gives 11.
Find the age of Remya and the age of Sofi.​

Answer 1

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)

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 the 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