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.
Answers
Answered by
1
Answer:
bdjdhrbrbrbrbbrhdhdhrhbrbrbebskskjsd
Answered by
15
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
Similar questions
Math,
3 months ago
English,
3 months ago
CBSE BOARD XII,
3 months ago
Math,
7 months ago
Chemistry,
7 months ago