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BlackZzzverrR [31]
3 years ago
12

mr tan is 42 years old and mrs tan is 44 years old now. they have 3 children who are 7 years, 5 years and 2 years old now. in ho

w many year time will the sum of mr and mrs tan's age be 4 times of the sum of their 3 children's age
Mathematics
1 answer:
adell [148]3 years ago
3 0

Answer:

3 years

Step-by-step explanation:

let the number of years required be x

hence

42+x+44+x = 4(7+x+5+x+2+x)

86+2x = 4(14+3x)

86+2x = 56+12x

2x-12x = 56-86

-10x = -30

x = 3

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kvasek [131]

Answer:

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Step-by-step explanation:

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strojnjashka [21]
Either you can use distributive property or you can add up the numbers in the brackets. 
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How do you solve this equation?
Travka [436]
Exponentail thingies

easy, look at all them them, see that they have 5 in common?
rremember how esay it was to factor
ax^2+bx+c=0

now we have
5^(2x)-6(5^x)+5=0
remember that 5^(2x)=(5^2)^x or (5^x)^2
in other words, we can rewrite it as
1(5^x)^2-6(5^x)+5=0
if yo want, replace 5^x with a and factor
1a^2-6a+5=0
(a-1)(a-5)=0
a=5^x
(5^x-1)(5^x-5)=0
set each to zero

5^x-1=0
5^x=1
take the log₅ of both sides
x=log₅1


5^x-4=0
5^x=4
take the log₅ of both sides
x=log₅4

x=log₅1 and/or log₅4







second quesiton

same thing

1(2^x)-10(2^x)+16=0
factor
(2^x-8)(2^x-2)=0
set each to zero

2^x-8=9
2^x=8
x=3

2^x-2=0
2^x=2
x=1

x=3 or 1







first one
x=log₅1 and/or log₅4
second one
x=1 and/or 3


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