Present ages of Ramesh and Suresh are in the ratio 1
:
4
. Fifteen years from now the ratio of their ages was be 2
:
5
. Find their present ages.
Answers
STEP-BY-STEP EXPLANATION:
.
REQUIRED ANSWER,
.
Answer:
STEP-BY-STEP EXPLANATION:
.
Let's,Let
′
s,
The \: present \: age \: of \: Ramesh \: be \: x.ThepresentageofRameshbex.
The \: present \: age \: of \: Suresh \: should \: be \: 4x.ThepresentageofSureshshouldbe4x.
After \: 15 \: years,After15years,
The \: age \: of \: Ramesh \: be \: x + 15.TheageofRameshbex+15.
\begin{gathered}The \: age \: of \: Suresh \: should \: be \: 4x + 15. \\ \end{gathered}
TheageofSureshshouldbe4x+15.
\begin{gathered}According \: To \: Question, \\ \end{gathered}
AccordingToQuestion,
\begin{gathered}\implies (x + 15) : (4x + 15) = 2 : 5 \\ \end{gathered}
⟹(x+15):(4x+15)=2:5
\begin{gathered}\implies \frac{x + 15} { 4x + 15} = \frac{2}{5} \\ \end{gathered}
⟹
4x+15
x+15
=
5
2
\begin{gathered}\implies {5(x + 15)} = 2 { (4x + 15)} \\ \end{gathered}
⟹5(x+15)=2(4x+15)
\begin{gathered}\implies {5x + 75} = { 8x + 30} \\ \end{gathered}
⟹5x+75=8x+30
\begin{gathered}\implies 5x - 8x = 30 - 75\\ \end{gathered}
⟹5x−8x=30−75
\begin{gathered}\implies \cancel{-} 3x = \cancel{ - }45\\ \end{gathered}
⟹
−
3x=
−
45
\begin{gathered}\implies 3x = 45\\ \end{gathered}
⟹3x=45
\begin{gathered}\implies x = \frac{45}{3} \\ \end{gathered}
⟹x=
3
45
\begin{gathered}\implies x = 15 \\ \end{gathered}
⟹x=15
\begin{gathered}The \: present \: age \: of \: Ramesh \: is \: 15 \: years. \\ \end{gathered}
ThepresentageofRameshis15years.
\begin{gathered}The \: present \: age \: of \: Suresh \: should \: is \: 60 \: years. \\ \\ \end{gathered}
ThepresentageofSureshshouldis60years.
REQUIRED ANSWER,
.
The \: present \: age \: of \: Ramesh \: and\:Suresh \: are \: 15 \: years \: and \: 60 \: years \: respectively.ThepresentageofRameshandSureshare15yearsand60yearsrespectively.