present age of atul and nishant are in the ratio 7:10 however after eight years the ratio will be 11:14 find their present age
Answers
P. age of Nishant = 10 x
ATQ
7x+8/10x+8=11/4
4(7x+8) = 11(10x+8)
28x+32=110x+88
32-88 = 110x-28x
-56=82x
X=-56/82
X=-28/41
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Answer:
Atul's age:- 7x
Nishant's age:- 10x
Equation formed:-
(by finding the value of x and substituting it to the equation we can find their ages)
Atul's age after 8 years:- 7x + 8 = 11x
Nishant's age after 8 years:- 10x + 8 = 14x
=> 8 = 14x - 10x [∴ Transposing 10x to RHS]
=> 8 = 4x
=> 8 ÷ 4 = x [ ∴ Transposing the co-efficient of x, 4 to the LHS to divide 8] => 2 = x
Atul's present age = 7 × x
=> 7 × 2 = 14 years [∴Substituting the value of x]
Nishant's present age = 10 × x
=> 10 × 2 = 20 years [∴ Substituting the value of x]