Question : Directions: Which two numbers (NOT digits) and two signs need to be interchanged to make the given equation correct?
35 ÷ 4 × 48 + 70 – 10 = 40
Option 1: 35 and 48, – and ÷
Option 2: 70 and 10, + and –
Option 3: 4 and 48, × and +
Option 4: 70 and 48, ÷ and ×
Correct Answer: 70 and 48, ÷ and ×
Solution :
Given:
35 ÷ 4 × 48 + 70 – 10 = 40
Interchange the digits and signs according to the options, to make the equation correct.
Let's check each option –
First option:
35 and 48, – and ÷
48 – 4 × 35 + 70 ÷ 10 = 40
L.H.S.→48 – 4 × 35 + 7
48 – 140 + 7 = – 92
– 92
≠ 40
Second option:
70 and 10, + and –
35 ÷ 4 × 48 – 10 + 70 = 40
L.H.S.→8.75 × 48 – 10 + 70
420 – 10 + 70 = 480
480
≠ 40
Third option:
4 and 48, × and +
35 ÷ 48 + 4 × 70 – 10 = 40
L.H.S.→0.729 + 4 × 70 – 10
0.729 + 280 – 10 = 270.729
270.729
≠ 40
Fourth option:
70 and 48, ÷ and ×
35 × 4 ÷ 70 + 48 – 10 = 40
L.H.S.→2 + 48 – 10 = 40
40 = 40
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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