Question
Find the number which when multiplied by $7$ is increased by $78$.
✓
Answer
Let the required number be $‘x’.$
Thus, when multiplied by $7$, it gives $7x$, and $x$ increases by $78$.
$7x = x + 78$
Transposing $x$ to $L.H.S.$, we get
$7x - x = 78$
$6x = 78$
Dividing both sides by $6$, we get
$\frac{6\text{x}}{6}=\frac{78}{6}$
$\text{x}=13$
Thus, the required number is $13$.
Thus, when multiplied by $7$, it gives $7x$, and $x$ increases by $78$.
$7x = x + 78$
Transposing $x$ to $L.H.S.$, we get
$7x - x = 78$
$6x = 78$
Dividing both sides by $6$, we get
$\frac{6\text{x}}{6}=\frac{78}{6}$
$\text{x}=13$
Thus, the required number is $13$.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In the given picture, each black blob hides an equal number of blue dots. If there are 25 dots in total, how many dots are covered by one blob? Write an equation to describe this problem.
In a quiz, Team A scored -40, 10, 0 and Team B scored 10, 0, -40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order?
$4$ squares each of side $10\ cm$ have been cut from each corner of a rectangular sheet of paper of size $100\ cm × 80\ cm.$ From the remaining piece of paper, an isosceles right triangle is removed whose equal sides are each of $10\ cm$ length. Find the area of the remaining part of the paper.
→In Fig. line $l \| m$ and $n$ is a transversal. If $\angle 1=40^{\circ}$, find all the angles and check that all corresponding angles and alternate angles are equal.
→The following observations have been arranged in ascending order. If the median of the data is $63$, find the value of $x: 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95$
→In a park of dimensions $20m \times 15m,$ there is a $L$ shaped $1m$ wide flower bed as shown in Fig. Find the total cost of manuring for the flower bed at the rate of $Rs. 45$ per $\mathrm{m}^2$.
→From a rectangular sheet of tin, of size 100 cm by 80 cm, are cut four squares of side 10 cm from each corner. Find the area of the remaining sheet.
What per cent of $1\ kg$ is $125\ g?$
→Simplify: $\frac{16\times2^{\text{n}+1}-4\times2^{\text{n}}}{16\times2^{\text{n}+2}-2\times2^{\text{n}+2}}$
→You have $Rs. 500$ in your savings account at the beginning of the month. The record below shows all of your transactions during the month. How much money is in your account after these transactions?
→|
Cheque No.
|
Date
|
Transaction Description
|
Payment
|
Deposit
|
|
$384102$
|
$4/9$
|
Jal Board
|
$Rs. 120$
|
$Rs. 200$
|
|
$275146$
|
$12/9$
|
Deposit
|
|
|
|
$384103$
|
$22/9$
|
LIC India
|
$Rs. 240$
|
$Rs. 150$
|
|
$801351$
|
$29/9$
|
Deposit
|
|
|