The sum of a smaller number and a bigger number is 240. When the bigger number is divided by the smaller number, the quotient is 8 with the remainder 6. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 240
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 8 with 6
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 8 x 1 u + 6
= 8 u + 6
Total of the 2 numbers
= 8 u + 6 + 1 u
= 8 u + 1 u + 6
= 9 u + 6
9 u + 6 = 240
9 u = 240 - 6
9 u = 234
1 u = 234 ÷ 9 = 26
Smaller number
= 1 u
= 26
(b)
Bigger number
= 8 u + 6
= 8 x 26 + 6
= 214
Answer(s): (a) 26; (b) 214