The sum of a smaller number and a bigger number is 225. When the bigger number is divided by the smaller number, the quotient is 6 with the remainder 8. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 225
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 6 with 8
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 6 x 1 u + 8
= 6 u + 8
Total of the 2 numbers
= 6 u + 8 + 1 u
= 6 u + 1 u + 8
= 7 u + 8
7 u + 8 = 225
7 u = 225 - 8
7 u = 217
1 u = 217 ÷ 7 = 31
Smaller number
= 1 u
= 31
(b)
Bigger number
= 6 u + 8
= 6 x 31 + 8
= 194
Answer(s): (a) 31; (b) 194