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qaws [65]
3 years ago
13

Musa is 47 years old and Dayo is 22 years old. How many years ago was the product of their ages i.e 836 years.​

Mathematics
1 answer:
shtirl [24]3 years ago
8 0

Answer:

3 years ago

Step-by-step explanation:

let m be Musa's age and d be Dayo's age

let x be number of years ago

m = 47

d = 22

(m - x)(d - x) = 836

(47 - x)(22 - x) = 836

1034 - 69x + x² = 836

x² - 69x + 198 = 0

This is in standard from ax² + bx + c = 0

Factor to be (x+q)(x+p)=0

p*q = c = 198

p+q = b = -69

198 = (-3)*(-66)

(-3) + (-66) = -69

Factored form is:

(x - 66)(x - 3) = 0

Set each bracket to 0

x - 66 = 0

x = 66 <= This number is inadmissable because neither Musa nor Dayo reached age 66.

x - 3 = 0

x = 3

The product of their ages was 836 3 years ago.

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Answer:

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2 years ago
Comparing the two ratios 2/4 and 1/2<br> 2/4 is larger
kumpel [21]

Answer:

<em><u>3.5 : 7 > 1.2 : 2.5.</u></em>

Step-by-step explanation:

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4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15

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Now, 12/15 > 10/15

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2. Compare the ratios 5 : 6 and 7 : 9.

Solution:

Express the given ratios as fraction

5 : 6 = 5/6 and 7 : 9 =7/9

Now find the L.C.M (least common multiple) of 6 and 9

The L.C.M (least common multiple) of 6 and 9 is 18.

Making the denominator of each fraction equal to 18, we have

5/6 = (5 ×3)/(6 ×3) = 15/18 and 7/9 = (7 ×2)/(9 ×2) = 14/18

Clearly, 15 > 14

Now, 15/18 > 14/18

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3. Compare the ratios 1.2 : 2.5 and 3.5 : 7.

Solution:

1.2 : 2.5 = 1.2/2.5 and 3.5 : 7 =3.5/7

1.2/2.5 = (1.2 ×10)/(2.5 ×10 ) = 12/25 and 3.5/7 = (3.5 ×10)/(7 ×10) = 35/70 = 1/2

[We removed the decimal point from the ratios now, we will compare the ratio]

Now find the L.C.M (least common multiple) of 25 and 2

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Making the denominator of each fraction equal to 50, we have

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Now, 25/50 > 24/50

Therefore, 3.5 : 7 > 1.2 : 2.5.

4 0
3 years ago
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