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Questions:-
- 15/4 - 7x = 9
- The present age of Sahil's father is 3 times the present age of Sahil. After 5 years their ages will add to 66 years. Find their present ages.
Answers:-
1) 15/4 - 7x = 9
Transposing - 7x to RHS we get,
⟹ 15/4 - 9 = 7x
⟹ (15 - 36) / 4 = 7x
Now, transposing 7 to RHS we get,
⟹ (- 21/4) * (1/7) = x
⟹ - 3/4 = x
∴ The value of x is - 3/4.
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2) Let the present age of Sahil be x years and his father be 3x years.
Given that,
After 5 years, sum of their ages will be 66 years.
So,
- Sahil's age after 5 years = (x + 5) years.
- Sahil's father's age after 5 years = (3x + 5) years.
Hence,
⟹ x + 5 + 3x + 5 = 66
⟹ 4x = 66 - 5 - 5
⟹ 4x = 56
⟹ x = 56/4
⟹ x = 14
∴
- Present age of Sahil = x = 14 years.
- Present age of Sahil's father = 3x = 3*14 = 42 years.
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