The sum of a smaller number and a bigger number is 243. When the bigger number is divided by the smaller number, the quotient is 3 with the remainder 7. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 243
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 3 with 7
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 3 x 1 u + 7
= 3 u + 7
Total of the 2 numbers
= 3 u + 7 + 1 u
= 3 u + 1 u + 7
= 4 u + 7
4 u + 7 = 243
4 u = 243 - 7
4 u = 236
1 u = 236 ÷ 4 = 59
Smaller number
= 1 u
= 59
(b)
Bigger number
= 3 u + 7
= 3 x 59 + 7
= 184
Answer(s): (a) 59; (b) 184