The Amount Of The Other Check Is $625
Answer:
the present age of the father be x and the present age of the son be y.
It is given that man is 24 years older than his son that is:
x=y+24
x−y=24..........(1)
Also, 12 years ago, he was five times as old as his son that is:
(x−12)=5(y−12)
x−12=5y−60
x−5y=−60+12
x−5y=−48..........(2)
Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get
(x−x)+(−5y+y)=−24−48
i.e. −4y=−72
i.e. y=18
Substituting this value of y in (1), we get
x−18=24
i.e. x=24+18=42
Hence, the present age of the father is 42 years and the present age of the son is 18 years.
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Answer:
29 m
Step-by-step explanation:
The dashes mean that the lines are equal in length, so from this we can determine that the area marked 441 m² is a square.
Area of a square = x², where x is the length of 1 side.
Therefore, x = √441 = 21 m
Now we have a right-angled triangle with two legs of 20 m and 21 m. We need to find the hypotenuse (labelled ?). To do this, use Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse.
Therefore,
20² + 21² = c²
⇒ 400 + 441 = c²
⇒ 841 = c²
⇒ c = √841
⇒ c = 29
So the side marked ? on the diagram is 29
