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## Answers

'y' be the other number

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-Their sum is 25

x + y = 25 -----equation 1

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-Their product is 136

x(y) = 136 ----equation 2

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From equation 1:

x + y = 25

x = 25 - y -----equation 1'

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Substitute equation 1' to equation 2

x(y) = 136

(25-y)y = 136

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Distribute y to the quantity (25-y)

25y - y² = 136

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Transpose 25y - y² to the right side of the equation

y² - 25y + 136 = 0

(y-17)(y-8) = 0

y=17; y=8

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If y=17

Using equation 1'

x = 25 - y

x = 25 - 17

x = 8

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If y=8

Using equation 1'

x = 25 - y

x = 25 - 8

x = 17

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Therefore the two numbers are

**8 and 17.**

OR

You can have it this way: =)

FACTORS of 136

136 = 1 x 136

136 = 2 x 68

136 = 4 x 34

136 = 8 x 17

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From the factors, choose the ones when added will have a sum of 25

In which case is the pair

**8 and 17**.