Question

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

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Answer 1

Answer:

Step-by-step explanation:
Let, the larger number be 5x.
A/Q
5x-2x=63
=>3x=63
=>x=63÷3
=>x=21
Therefore, larger number=5x=5×21=105

Answer 2

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.