Answer: ![10, 31\ \text{years}](https://tex.z-dn.net/?f=10%2C%2031%5C%20%5Ctext%7Byears%7D)
Step-by-step explanation:
Given
The present age of Madison's Mother is three time that of Madison
Suppose the Present age of Madison is
, so age of her mother is ![3x](https://tex.z-dn.net/?f=3x)
After
, the sum of their age will be ![53\dfrac{3}{4}\ \text{years}](https://tex.z-dn.net/?f=53%5Cdfrac%7B3%7D%7B4%7D%5C%20%5Ctext%7Byears%7D)
![\therefore (x+6\dfrac{1}{4})+(3x+6\dfrac{1}{4})=53\dfrac{3}{4}\\\\\Rightarrow 4x+2\times \dfrac{25}{4}=\dfrac{53\times 4+3}{4}\\\\\Rightarrow 4x+\dfrac{50}{4}=\dfrac{215}{4}\\\\\Rightarrow 4x=\dfrac{215-50}{4}\\\\\Rightarrow x=\dfrac{165}{16}\\\\\Rightarrow x= 10.31\approx 10](https://tex.z-dn.net/?f=%5Ctherefore%20%28x%2B6%5Cdfrac%7B1%7D%7B4%7D%29%2B%283x%2B6%5Cdfrac%7B1%7D%7B4%7D%29%3D53%5Cdfrac%7B3%7D%7B4%7D%5C%5C%5C%5C%5CRightarrow%204x%2B2%5Ctimes%20%5Cdfrac%7B25%7D%7B4%7D%3D%5Cdfrac%7B53%5Ctimes%204%2B3%7D%7B4%7D%5C%5C%5C%5C%5CRightarrow%204x%2B%5Cdfrac%7B50%7D%7B4%7D%3D%5Cdfrac%7B215%7D%7B4%7D%5C%5C%5C%5C%5CRightarrow%204x%3D%5Cdfrac%7B215-50%7D%7B4%7D%5C%5C%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B165%7D%7B16%7D%5C%5C%5C%5C%5CRightarrow%20x%3D%2010.31%5Capprox%2010)
Madison mother's age ![3x=30.93\approx 31\ \text{years}](https://tex.z-dn.net/?f=3x%3D30.93%5Capprox%2031%5C%20%5Ctext%7Byears%7D)
25.25
500 / 154 x 2 + 99 - 80
Follow the order of operations
(500 / 154) x 2 + 99 - 80
3.25 x 2 + 99 - 80
6.5 + 99 - 80
105.5 - 80
25.5
:)
Answer:
Step-by-step explanation:
4=2×2
3m=3×m
5p=5×p
Emp=E×m×p
L.C.M.=2×2×3×5×m×p×E=60 Emp
Answer:
Hence his displacement would be 10 miles and the total distance he travels is 18 miles.
Step-by-step explanation:
Jack travel 4mile in South then come home so his net displacement is zero because his initial and final point coincide. Now he again travels 10 miles within the South so his displacement would be 10 miles and therefore the total distance he travels is
⇒ 4 +4+ 10 =18 miles.
Answer:
Step-by-step explanation:
46+x=77 subtract 46 from both sides
x=31