A girl was asked to multiply a number by - Instead she divided the number by - and got the result 15
more than the correct result. What is the number?
What is the sum of two consecutive even numbers, the difference of whose squares is 84?
One number is 7 more than another and its square is 77 more than the square of the smaller number.
Answers
Answer:
1) 56 >> 2) 41 & 43 >> 3) 9 & 2
Step-by-step explanation:
There are 3 questions in one
1. A girl was asked to multiply a number by 7/8 Instead she divided the number by 7/8 and got the result 15 more than the correct result. What is the number?
Number is x:
x/7/8 - x*7/8 = 15 => solving we get x=56
Note: Missing numbers 7/8 in the question description got from elsewhere
==================
2. What is the sum of two consecutive even numbers, the difference of whose squares is 84?
2x+1 +2x+3=84 =>x= 20 => numbers: 41 & 43
==================
3. One number is 7 more than another and its square is 77 more than the square of the smaller number.
x-y=7
x²-y²=77
x²-y²=(x+y)(x-y)=7(x+y)
7(x+y)=77 => x+y=11
x+y=11
x-y=7
Add up the two above to get 2x=18 => x=9 and y=9-7=2
So numbers are 9 and 2
♣ PLEASE MARK THE ANSWER BRAINLIEST ( IF U R SATISFIED ) ♣