Find two numbers if their difference is 16 and their ratio is 5:7.

Mathematics

2 answers:

lidiya [134]3 years ago

5 0

Answer:

The two numbers are 56 and 40.

Step-by-step explanation:

I don't really know how to explain this but I know that my answer is right.

Sorry.

myrzilka [38]3 years ago

3 0

Let us say that the numbers are x and y. The given clues are:

1. x – y = 16 (so x is the larger number)

2. y / x = 5 / 7

rewriting eqtn 2 in terms of y:

y = (5/7) x

combining 1 and 2:

x – (5/7) x = 16

(2/7) x = 16

x = 56

y = (5/7) x = 40

So the two numbers are 56 and 40.

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Sergio [31]

First take the fractions and find their common denominator:
$\frac{1}{2}$ x 4 = $\frac{4}{8}$

Now you can add the fractions:
$\frac{4}{8} + \frac{1}{8} = \frac{5}{8}$

Now add your whole numbers and the fraction:
1+1= 2 >> 2+ $\frac{5}{8}$ = 2 $\frac{5}{8}$ yards

Now subract 2 $\frac{5}{8}$ from 5:
5-2 $\frac{5}{8}$ =2 $\frac{3}{8}$ yards