A two-digit number is such that the sum of its digits is 8. If 54 is subtracted from the number digits are reversed. Find the number. class 8 ch 2
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what's the chapter name
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→ Hey Mate,
→ Given Question:-
→ A two digit number is such that the product of its digits is 8. When 54 subtracted from the number, the digits are reversed. Find the number.
→ To find:-
→ Find the number?
→ Solution:-
→ Let digit at ones = x
→ Let digit at Tens = y
→ Now , = 10 y + x
→ x + y = 8 [ ∵ Equation 1 ]
→ 10 y + x -54 = 10 x + y
→ 10 y - y + x - 10x = 54
→ 9y - 9x = 54
→ Now , solve equation 1 and equation 2
→ x + y = 8
→ -x + y = 6
→ y = 7
→ 2y = 14
→ x = 1
→ The Number is 71.
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