Age of Renya and double the age if Sofi added together gives 28 Three fourth of Remya's age added to one fourth of Sofi's aye gives 11.
Find the age of Remya and the age of Sofi.
Answers
Answered by
71
Answer:
Answer:
Remya=12❤
Sofi=8❤
Explanation:
let x be the age of remya and y be the age of sofi.
x+2y=28------1
(3x/4)+y/4=11-------2
multiply equation 2 by 8
6x+2y=88-----------3
equation3-equation1
5x=60
x=60÷5=12
x+2y=28
12+2y=28
2y=16
y=8
Answered by
99
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
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