The sum of a smaller number and a bigger number is 253. When the bigger number is divided by the smaller number, the quotient is 4 with the remainder 8. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 253
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 4 with 8
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 4 x 1 u + 8
= 4 u + 8
Total of the 2 numbers
= 4 u + 8 + 1 u
= 4 u + 1 u + 8
= 5 u + 8
5 u + 8 = 253
5 u = 253 - 8
5 u = 245
1 u = 245 ÷ 5 = 49
Smaller number
= 1 u
= 49
(b)
Bigger number
= 4 u + 8
= 4 x 49 + 8
= 204
Answer(s): (a) 49; (b) 204