Question

sum of two numbers is97 if the larger no. is divided by smaller no. the quotient is 7& remainder is 1 find the no.s​

Answer 1

$\large\bf\underline {To \: find:-}$

• We need to find the Numbers.

$\large\bf\underline{Given:-}$

• Sum of two numbers = 97
• larger number is divided by smaller then the quotient is 7 and remainder is 1.

$\huge\bf\underline{Solution:-}$

• Let the two numbers be x and y .
• Let x is greater than y

❥ According to Question :-

≫ Sum of two numbers is 97

• x + y = 97 ......1)

≫ If the larger no. is divided by smaller no. the quotient is 7 and remainder is 1.

we know that,

$\star \: \sf \red{Dividend = Divisor\:\times\: Quotient + Remainder}$

• Dividend = x
• Divisor = y
• Quotient = 7
• Remainder = 1

➛ x = y × 7 + 1

➛ x = 7y + 1

➛ x - 7y = 1 ......2)

⏺️ Solving 1) and 2)

⠀⠀ x⠀ +⠀ y⠀ = ⠀97

⠀⠀ x⠀ - ⠀7y = ⠀⠀1

⠀⠀ -- ⠀⠀⠀+ ⠀⠀⠀--⠀⠀

⠀⠀⠀⠀⠀⠀ 8y⠀=⠀96

• ❥ y = 12

⏭️ putting value of y in 1)

➛ x + y = 97

➛ x + 12 = 97

➛ x = 97 - 12

• ➛ x = 85

hence,

✝️ Two numbers are 12 and 85

• ≫ Larger number x = 85
• ≫ Smaller number y = 12

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Answer 2

Question

sum of two numbers is 97 if the larger no. is divided by smaller no. the quotient is 7& remainder is 1 find the no.s

Given

• Sum of 2 number is 97
• Larger number is divided by smaller number and quotient Is 7 and leaves remainder 1

To Find

• Number =?

Solution

• Let the larger number be x
• And smaller number be y

So,

→ x+y=97

→ x= 97-y ----equ(1)

And

→ x=7y+1 ----equ(2)

compare x

→ 97 - y = 7y + 1

→ 97 - 1 = 7y + y

→ 96 = 8y

→ 96/8= y

→ y = 12

Therefore,

→ x+y = 97

→ x+12 = 97

→ x = 97 - 12

→ x = 85

Hence,

• Larger number =i.,e x = 85
• Smaller number i.,e y = 12