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Question 158
The difference of two two-digit numbers is 18. Four times the second number is 18 more than thrice the first number. Find sum of both numbers.
Solution
Let the numbers be $$x$$ and $$y$$
=> $$x - y = 18$$ -----------------Eqn(1)
and $$4y - 3x = 18$$
Using equation (1), we get :
=> $$4(x - 18) - 3x = 18$$
=> $$4x - 72 - 3x = 18$$
=> $$x = 18 + 72 = 90$$
=> $$y = 90 - 18 = 72$$
$$\therefore$$ Sum of numbers = $$90 + 72 = 162$$
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