1/4th of a number is 8 more than 5. Find the number
Answers
Step-by-step explanation:
★ Solution ★
★ According to question, we have
to find a number one-fourth of
which is 8 more than 5
=============================
Let the number which is require
be 'x'.
So,
One fourth of this number is = \dfrac{1}{4}x
4
1
x
==============================
★ Given that :
\dfrac{1}{4}x
4
1
x is two more than 7
=============================
★ So now we are going to solve equation
\begin{lgathered}\implies\dfrac{1}{4}x = 5+8\\\\\\\implies\dfrac{1}{4}x=13\\\\\\\implies x=13\times4\\\\\\\implies x=52\end{lgathered}
⟹
4
1
x=5+8
⟹
4
1
x=13
⟹x=13×4
⟹x=52
==============================
★ By solve the equation we get
the value of 'x' which is 52
==============================
★ Now we are going to verify
our answer
For verification we have to
put '52' at the place of 'x'
=============================
Lets do it,
\begin{lgathered}\implies\dfrac{1}{4}\times52 = 5+8\\\\\\\implies\dfrac{1}{4}\times52=13\\\\\\\implies 52=13\times4\\\\\\\implies 52=52\end{lgathered}
⟹
4
1
×52=5+8
⟹
4
1
×52=13
⟹52=13×4
⟹52=52
=============================
★ Here, L.H.S = R.H.S
★ Hence, it is verified
==============================
★ Another verification :
= 1/4x
= 1/4 × 52
= 13
★ Here, we observe that 13 is 8 more
than 5.
★ Hence our answer is fully verified.
Answer:
The given question is solved in the upload photo.
Step-by-step explanation:
