the product of two two-digit number is 1620.the product of their ones digit is 30 and that of ten's digit is 12. find the number
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the product of two two-digit number is 1620.the product of their ones digit is 30 and that of ten's digit is 12. find the number
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Step-by-step explanation:
Solution:
Correct option is A)
⇒ Let the unit digit in the number be x, then product of digits is 12, the ten's digit in the number is
x
12
.
∴ The value of the number =10×
x
12
+x=
x
120
+x
⇒ On reversing the digits, unit's digit becomes ten's digit and ten's digit becomes unit's digit and its value will become 10x+
x
12
Accroding to the question,
⇒ 10x+
x
12
=
x
120
+x+36
⇒ 9x=
x
120−12
+36
⇒ 9x=
x
108
+36
⇒ 9x
2
=108+36x
⇒ 9x
2
−36x−108=0
⇒ x
2
−4x−12=0
⇒ x
2
−6x+2x−12=0
⇒ x(x−6)+2(x−6)=0
⇒ (x−6)(x+2)=0
⇒ x=6 and x=−2
We can not have negative number in unit place
∴ 6 is unit's place and in tens place we have
6
12
=2
∴ The required number =26
Answer:
the product of two two-digit number is 1620.the product of their ones digit is 30 and that of ten's digit is 12. find the number
Step-by-step explanation:
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