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Lorico [155]
2 years ago
10

A certain family has a husband, wife, son, and daughter. All together they are 68 years old. The husband is 3 years older than t

he wife, and the son is 3 years older than the daughter. Four years ago, all together the family was 54 years old. How old is the husband now?
Mathematics
1 answer:
Vsevolod [243]2 years ago
5 0

Answer:

32 years old

Step-by-step explanation:

The husband is 32 years old as the wife is 3 years younger than the husband. The son is 3 years older than the daughter. Their family altogether total age today is 68 years while 4 years ago their age total was 54 years. The difference is 14 years. If we divide the difference into 4 then the age can not be whole number which means daughter is born after 2 years. She is now 2 years older. Son is 3 years older than the daughter which means he is 5 years old. The husband then must be 32 years old and wife is 3 years younger which means she is 29 years old now.

32 + 29 + 5 + 2 = 68 years.

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Alex_Xolod [135]
6x - 7 = 4x + 7
2x = 14
x = 7

The answer is 7
6 0
2 years ago
Stu Reese has a $150,000 7½% mortgage. His monthly payment is $1,010.10. His first payment will reduce the principal to an outst
BabaBlast [244]

Given that

starting outstanding balance = $150000

rate of interest = 7.5% per year

so rate of interest for 1 month = (7.5/12)% = 0.635%

outstanding balance before 1st monthly payment =  starting outstanding balance   +   0.625% of interest on  starting outstanding balance

= 150000 + (0.625 /100) × 150000

= 150000 + 937.5 = $150937.5

Reduction = outstanding balance after one month - first monthly payment

Reduction  = $150937.5 - 1010.10 = 149927.40

so out of first payment of $1,010.10 ,  $937.5  goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.

so correct option is B that is $149927.40.

8 0
3 years ago
Y=x-4 and -4x-6y=-16
denis-greek [22]

Answer:

x=4

y=0

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If you flip a coin 10 times, what is the best prediction possible for the number of times it will land on tails?
Serjik [45]

Answer:

5

Step-by-step explanation:

The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.

8 0
3 years ago
Read 2 more answers
help!!! Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. y=2x+4
zhannawk [14.2K]

y- intercept = (0, 4), x-intercept = (- 2, 0)

to find the intercepts let x = 0 and y = 0 in the equation

x = 0 → y = 0 + 4 =4 ⇒ y-intercept (0, 4)

y = 0 → 2x + 4 = 0 ⇒ x = - 2 ⇒ x- intercept(- 2, 0)


8 0
2 years ago
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