If 1 A - A -9 A- then find AA- A -6B- A-5C- A -4D- A -3

The correct option is A A = 61A × A = 9A nbsp; (10 + A) A = (90 + A) 10A+A^2=90+A A^2 + 9A − 90 = 0 Now, let's check for each given value if L.H.S = R.H.S I ...

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Standard VIII

Mathematics

Puzzles on Missing Digits

If 1 A × A =9...

Question

If 1A × A = 9A, then find A.

A = 6

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A = 5

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A = 4

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A = 3

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Solution

The correct option is A A = 6
$1 A \times A = 9 A$
$(10 + A) A = (90 + A)$
$10 A + A^{2} = 90 + A$
$A^{2} + 9 A - 90 = 0$
Now, let's check for each given value if L.H.S = R.H.S

If A = 6,
= $6^{2} + 9 \times 6 - 90$
= $36 + 54 - 90$
= 0
$∴$ L.H.S = R.H.S

Similarly, when we check with A = 5, 4 and 3
L.H.S. $\neq$ R.H.S
So, the value of A = 6

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If 1A × A = 9A, then find A.

The correct option is A A = 6 1A×A=9A (10+A)A=(90+A) 10A+A2=90+A A2+9A−90=0 Now, let's check for each given value if L.H.S = R.H.S If A = 6, = 62+9×6−90 = 36+54−90 = 0 ∴ L.H.S = R.H.S Similarly, when we check with A = 5, 4 and 3 L.H.S. ≠ R.H.S So, the value of A = 6