The sum of a smaller number and a bigger number is 266. When the bigger number is divided by the smaller number, the quotient is 9 with the remainder 6. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 266
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 9 with 6
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 9 x 1 u + 6
= 9 u + 6
Total of the 2 numbers
= 9 u + 6 + 1 u
= 9 u + 1 u + 6
= 10 u + 6
10 u + 6 = 266
10 u = 266 - 6
10 u = 260
1 u = 260 ÷ 10 = 26
Smaller number
= 1 u
= 26
(b)
Bigger number
= 9 u + 6
= 9 x 26 + 6
= 240
Answer(s): (a) 26; (b) 240