Question

Two numbers are in the ratio 7 : 5. If they differ by 16, what are
the numbers?

Answer 1

Answer:

-56 and -40

56 and 40

Step-by-step explanation:

x : x+16 = 7 : 5

7(x+16)=5x

7x+112=5x

2x=-112

x=-56

So the two numbers are -56 and -40

56 and 40 is also possible

Answer 2

Answer :-

• The numbers are 40 and 56.

To find :-

• The numbers.

Step-by-step explanation :-

• Here, it is given that two numbers are in the ratio 7 : 5.

So :-

• Let the numbers be "7x" and "5x".

Given that :-

• The numbers differ by 16.

Then :-

• 7x - 5x = 16.

Therefore,

$\longrightarrow 7x - 5x = 16$

$\longrightarrow 2x = 16$

$\longrightarrow x = \dfrac{16}{2}$

$\longrightarrow x = 8$

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Hence, the numbers are :-

$\longrightarrow \bf 7x = 7 \times 8 = 56.$

$\longrightarrow \bf 5x = 5 \times 8 = 40.$

Thus :-

• The numbers are 40 and 56.