Question

the ratio of two numbers is 7:5 and their difference is 6 then the larger number is

Answer 1

Correct Question :+

The ratio of two numbers is 2 : 5 and their difference is 63. Then what is the larger number ?

Answer :-

The second number is greater = 5x = 5 × 21 = 105.

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

Ratio of two numbers is 2:5

Their difference is 63

Have to Find :-

The larger number = ?

Calculations :-

Consider the two number be 2x and 5x.

Then from the given , we get :-

⇒ 5x - 2x = 63

⇒ 3x = 63

⇒ x = $\sf\dfrac{\cancel{63}}{\cancel{3}}$

$\large{\boxed{\bold{x\:=\:21}}}$

Therefore ,

The two number are :-

1. Number = 2x

= 2 × 21

= 42

2. Number = 5x

= 5 × 21

= 105

Hence , the number second ( 105 ) is larger.