Mother wants to divide Rs36 among hertwo daughters sarita and sunita.if sarita is 15 years and sunita is 12 years.find hiw much sarita and sunita will get.find answer in ratio.
Answers
The number of trees in consecutive rows increase by 1. So, it this is an Arithmetic progression, where d = 1, a = trees in first row = 1 and n = number of rows = 25. We have to find out number of trees in 25 rows? Using well known formula, i.e, formula of sum of nth term of Arithmetic progression ::
\Large\underline{\boxed{\bf{\red{S_{n} = \dfrac{n}{2}\Big[2a + \big(n - 1\big)d\Big]}}}}
S
n
=
2
n
[2a+(n−1)d]
Where, Sn denotes sum of nth terms, n denotes number of terms, a denotes first term and d denotes common difference.
Let's solve it!!
\:
\underline{\sf{\bigstar\:Putting\:all\:known\:values\::-}}
★Puttingallknownvalues:−
\begin{gathered}\\ \longrightarrow \:\sf S_{25} = \dfrac{25}{2}\Big[\big(2\big)\big(1\big) + \big(25 - 1\big)\big(1\big)\Big] \end{gathered}
⟶S
25
=
2
25
[(2)(1)+(25−1)(1)]
\begin{gathered}\\ \longrightarrow \:\sf S_{25} = \dfrac{25}{2}\Big[\big(2\:\times\:1\big) + \big(24\:\times\:1\big)\Big] \end{gathered}
⟶S
25
=
2
25
[(2×1)+(24×1)]
\begin{gathered}\\ \longrightarrow \:\sf S_{25} = \dfrac{25}{2}\Big[2 + 24\Big] \end{gathered}
⟶S
25
=
2
25
[2+24]
\begin{gathered}\\ \longrightarrow \:\sf S_{25} = \dfrac{25}{\cancel{2}}\:\times\:\cancel{26}\end{gathered}
⟶S
25
=
2
25
×
26
\begin{gathered}\\ \longrightarrow \:\sf S_{25} = 25\:\times\:13\end{gathered}
⟶S
25
=25×13
\begin{gathered}\\ \longrightarrow \:\boxed{\bf {\purple{S_{25} = 325}}}\:\orange{\bigstar}\end{gathered}
⟶
S
25
=325
★
Answer:
7/5
Step-by-step explanation:
36\15
4x12 =x
(3/15)
=7/5