2 Answers

Stein Dekker · Answer 1 · 2020-08-22T10:54:39+0000

Let the two numbers be : P and Q

Given - The Two numbers are in the ratio 5 : 3

$:\implies \mathsf{(P)/(Q) = (5)/(3)}$

$:\implies \mathsf{P = (5Q)/(3)}$

Given : The Difference of two numbers is 18

$:\implies$ P - Q = 18

Substituting the value of P in the above Equation, We get :

$:\implies \mathsf{(5Q)/(3) - Q = 18}$

$:\implies \mathsf{(5Q - 3Q)/(3) = 18}$

$:\implies \mathsf{(2Q)/(3) = 18}$

$:\implies \mathsf{(Q)/(3) = 9}$

$:\implies \mathsf{Q = 27}$

Substituting the value of Q in Equation P - Q = 18, We get :

$:\implies$ P - 27 = 18

$:\implies$ P = 27 + 18

$:\implies$ P = 45

Answer : The Two Numbers are : 45 and 27

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