Question

the sum of two numbers is 90 and their ratio is7:8.find the numbers
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Answer 1

Ratio of the two numbers:

Let: x/y = 7/9

x = (7/9) y - eq. 1

Sum of the two numbers:

Let: x + y = 320 - eq. 2

Substitute 1 to 2:

(7/9)y + y = 320

y = 180

Substitute value of y to eq. 1

x = (7/9) * 180

x = 140

Therefore the two numbers are 140 and 180.

But wait there’s more!

Substitute the two numbers to any of the equations:

140 + 180 = 320

320 = 320

or

(140/180) = (7/9)

(7/9) = (7/9)

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Answer 2

Answer:

= 42, 48.

Step-by-step explanation:

Lets take 7:8 as 7x and 8x.

= 7x + 8x = 90

= 15x = 90

= x = 90/15

= x = 6.

The numbers value = 7(6) and 8(6)

= 42, 48.

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