Question

1. Solve the following
( I think of a number, multiply it by 4 and add 7. The answer is 55. Find the number
(ii) I think of a number, add 7 to it and multiply the result by 6. The answer is 55. Find the
number
(iii) I think of a number, multiply it by 3 and add 7. I get the same answer if I multiply the
number by 4 and subtract 12 from it. Find it.
(iv) I think of a number, multiply it by 7 and subtract 12. I get the same answer if I add 2 to
the number and multiply the result by 5. Find the number.
Plss give the ans step by step ​

Answer 1

Answer:

Here we are given with simple words problem which we need to solve. If we assume the number as x the we can solve all the questions. After assuming the numbers as x and then putting that number in given condition we are able to solve the questions.

Step-by-step explanation:

1. Think of the number, multiply it by 4 and add 7. The answer is 55. Find the number.

Here we are given that there is a number which is multiply by and add by 7 to get 55.

Let the number be x, so according to given the conditions:

$x\times4+7=55\\4x+7=55\\4x=55-7\\4x=48\\x= \frac{48}{4}\\ x= 12$

Hence, the number is 12.

(ii) I think of a number, add 7 to it and multiply the result by 6. The answer is 55. Find the number.

Here we are given that there is a number which add by 7 and multiply be 6 and the answer is obtain as 55.

Let the number be x, so according to the given conditions.

$(x+ 7)\times 6= 55\\6x+ 42=55\\6x= 55-42\\6x= 13\\x= \frac{13}{6}$

Hence the number is obtain above.

iii) I think of a number, multiply it by 3 and add 7. I get the same answer if I multiply the

number by 4 and subtract 12 from it. Find it.

Let ty

the number be x then according to the given conditions:

$x\times 3+7= x\times 4-12\\3x+7= 4x-12\\3x-4x= -12-7\\-x= -19\\x=19$

Hence, the number is 19.

iv). I think of a number, multiply it by 7 and subtract 12. I get the same answer if I add 2 to the number and multiply the result by 5. Find the number.

Let the number be x, so according to the given conditions.

$x\times 7-12= (x+2)\times 5\\7x-12= 5x+10\\7x-5x= 10+12\\2x= 22\\x= \frac{22}{2}\\ x= 11$

Hence the number is 11.

#SPJ1

Learn more about this topic on:

https://brainly.in/question/41273473