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If three times the greater of two numbers is divided by the smaller one, we get 4 as the quotient and 3 as the remainder. Also, if seven times the smaller number is divided by greater one, we get 5 as the quotient and 1 as the remainder. Find the numbers.
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Let the smaller number be $x$
and the greater number be $y$
$3y = 4x + 3$ ... (i)
$7x = 5y + 1$ ... (ii)
Solving (i) and (ii), we get
$x = 18, y = 25$
$\therefore$ Smaller number is 18
and greater number is 25
and the greater number be $y$
$3y = 4x + 3$ ... (i)
$7x = 5y + 1$ ... (ii)
Solving (i) and (ii), we get
$x = 18, y = 25$
$\therefore$ Smaller number is 18
and greater number is 25