Question

Two numbers are in the ratio 5 : 6. If the sum of the numbers is 165, the numbers are
a) 80,85
b) 75,90
c) 100,66

Answer 1

Solution :-

Let the numbers be 5x and 6x

A.TQ.

$\large{\boxed{\underline{\pink{5x\:+\:6x\:=\:165}}}}$

$\: \: \: \: \implies{11x \:=\: 165}\: \: \: \: \:$

$\: \: \: \: \implies{x \:=\: \dfrac{165}{11}}\: \: \: \: \:$

$\: \: \: \: \implies{x \:=\: 15 }\: \: \: \: \:$

∴ 5x = 5 × 15 = 75

6x = 6 × 15 = 90