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Nathaniel Kan asked in Maths

Q). In a two-digit number, the tens digit is 5 less than the ones digit. The number is 14 greater than the
product of the digits. Find this two-digit number.

Thank You
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Shruti Tyagi answered this

Dear student,

Let the one's digit be 'x'then ten's digit be 'y'Two digit no=10y+xAcc. to question,y=x-5 and 10x-5+x-14=xx-510x-50+x-14=x2-5x11x-64-x2+5x=0-x2+16x-64=0x2-16x+64=0x2-8x-8x+64=0xx-8-8x-8=0x-8x-8=0x=8, 8when x=8y=8-5=3Hence 2-digit no.=10×3+8=30+8=38
Regards