JIPMAT 2022 (QA) - If ax b=2 a-3 b+a b,then 3 x 5+5 x 3 is equal to | PYQs + Solutions | AfterBoards
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JIPMAT 2022

Algebra
>
Linear Equation

Easy

If a×b=2a−3b+aba\times b=2 a-3 b+a b,then 3×5+5×33 \times 5+5 \times 3 is equal to

Correct Option: 3
Given: a×b=2a−3b+aba × b = 2a - 3b + ab
Let's find what 3×53 × 5 means using this definition: \newline When a=3a = 3, b=5b = 5: \newline ⇒3×5=2(3)−3(5)+(3)(5)\Rightarrow 3 × 5 = 2(3) - 3(5) + (3)(5) \newline =6−15+15= 6 - 15 + 15 \newline =6= 6
Similarly for 5×35 × 3: \newline When a=5a = 5, b=3b = 3: \newline 5×3=2(5)−3(3)+(5)(3)5 × 3 = 2(5) - 3(3) + (5)(3) \newline =10−9+15= 10 - 9 + 15 \newline =16= 16
Therefore, 3×5+5×3=6+16=223 × 5 + 5 × 3 = 6 + 16 = 22
The answer is 2222

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