four years ago, rahim age was three times ramu's age. After two years, it would just be double. What are their aged now?
Answers
Let Ramu's age be x years old 4 years ago
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STEP 1: Find their age 4 years ago:
4 years ago:
Ramu = x
Rahum = 3x
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STEP 2: Find their age now:
Now:
Ramu = x + 4
Rahim = 3x + 4
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STEP 3: Find their age 2 years later:
Two years later,
Ramu = x + 4 + 2 = x + 6
Rahim = 3x + 4 + 2 = 3x + 6
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STEP 4: Form equation and solve for x:
Rahum's age will be double of Ramu:
3x + 6 = 2(x + 6)
3x + 6 = 2x + 12
x = 6
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STEP 5: Find their age:
Present age:
Ramu = x + 4 = 6 + 4 = 10 years old
Rahim = 3x + 4 = 3(6) + 4 = 22 years old
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Answer: Ramu is 10 years old and Rahim is 22 years old
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Assume present Rahim's age =x
& Ramu's age=y
4 years ago...
x-4 =3 (y-4)----------1.
or x-3y=-8
After 2 years
x+2 = 2{y+2}
or x-2y =2-----------2.
solving both equation
x=22
y=10
i.e
Rahim present age=22
Ramu present age=10
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Hope this will help you..