the sum of the age of rashmi and her elder brother is 38 years and the difference between their ages is 2 years find the ages
Answers
Step-by-step explanation:
The sum of the ages of two brothers is 38 years. Four years ago, the age of the elder brother was the square of the younger brother's age.Find their ages.
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Equations:
a + b = 38 years
a-4 = (b-4)^2
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Rearrange:
a = 38-b
Substitute for "a" and solve for "b":
(38-b)-4 = b^2 - 8b + 16
b^2 - 7b -18 = 0
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(b-9)(b+2) = 0
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Positive solution:
b = 9 (one of the brother's age)
Solve for "a":
a + b = 38
a + 9 = 38
a = 29 (age of the other brother)
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Answer:
RASHMI'S AGE=20
HER BROTHER AGE=18
Step-by-step explanation:
LET THE AGES OF HIS RASHMI AND HER BROTHER BE X AND Y.
ACCORDING TO THE QUESTION-
X+Y=38
X-Y=2
WHEN WE ADD BOTH THE EQUATIONS
X+Y+X-Y=38+2
2X=40
X=20
THEREFORE,
RASHMI'S AGE=20
HER ELDER BROTHERS AGE=20-2=18
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