Question

The sum of two numbers is 231 and their differences is 63 . what is the ratio of the greater number to the smaller one?

Answer 1

Let’s assume one number be x and the other be y.

Given:

x+y=231

x-y=63

so x=147 and y=84;

Now we can put the in ratio,

147x:84y

which goes down to

7x:4y

so x is in the ratio to y is 0.57

y is in the ratio to x as 1.75

Hope this helps!

Answer 2

Answer:

The ratio of the larger number to the smaller number is $147: 84$ or $7:4.$

Step-by-step explanation:

Given:

The sum of the two numbers is 231 and their difference is 63.

To find:

The ratio of the greater number to the smaller one.

Step 1

Let the two numbers be $x$ and $y$.

$&x+y=231 ..................(1)$

$&x-y=63 .....................(2)$

Step 2

Adding equation $(1)$ and $(2)$, we get

$&2 x=294,$

then $&x=147$

By subtracting the equation $(1)$ and $(2)$, we get

$&2 y=168,$

then $&y=84$

Therefore, the ratio of the larger number to the smaller number is $147: 84$ or $7:4.$

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