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.

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.
1). 162
2). 165
3). 89
4). 48

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Guest · Answer 1 · 2019-04-06 15:23:13

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 = $90 + 72 = 162$

Guest · Answer 2 · 2019-04-19 18:55:26